What is the radius of a cone with a volume of 96π cubic inches and a height of 18 inches? 1. rewrite the formula using the base area: 2. substitute the values into formula: 3. simplify the right side: 4. undo the multiplication of 6π: 5. undo the square: what is the radius of the cone? inches v = one-third pi r squared h. 96 pi = one-third pi r squared (18). 96 pi = 6 pi r squared. 16 = r squared. startroot 16 endroot = startroot r squared endroot.

Answers

Answer 1

Based on the calculations, the radius of this cone is equal to 4 inches.

How to calculate the radius of a cone?

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × r²h

Where:

h is the height.r is the radius.

Making r the subject of formula, we have:

r = √(3V/πh)

Substituting the given parameters into the formula, we have;

r = √(3 × 96π/π × 18)

r = √(288/18)

r = √16

Radius, r = 4 inches.

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Related Questions

Starting from rest on a level road a girl can reach a speed of 5 m/s in 10s on her bicycle. Find average speed and distance traveled in 10s.​

Answers

Answer:

Average speed = 2.5 mph

Distance = 22.352 meters

Explanation:

Calculate speed, distance or time using the formula d = st, distance equals speed times time.

Calculate speed, distance or time using the formula d = st, distance equals speed times time.

You can use this formula for any question like this

Ultrasound was used to check for cracks in an aeroplane wing. The ultrasound pulse would be reflected from any cracks and from the end of the wing. The diagram shows the oscilloscope trace produced by the echo. How far along the wing was the crack? The speed of sound in metal is 5000m/s.

Answers

The depth of the crack along the aeroplane wing is determined as 1.5 m.

Depth of the echo reflection

The depth of the crack in the wing from which the echo is heard is calculated as follows;

d = (vt)/2

From the image;

time 1 = 0.4 mstime 2 = 0.8 ms

d1 = (5000 x 0.4 x 10⁻³)/2

d1 = 1 m

d2 = (5000 x 0.8 x 10⁻³)/(2)

d2 = 2 m

Average depth

d = (d1 + d2)/2

d = (1 + 2)/2

d = 1.5 m

Thus, the depth of the crack along the aeroplane wing is determined as 1.5 m.

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Answer:The answer is 2

Explore the role of friction when creating safety ramps and escalators. "Why is it important for people and object to move slowly on ramps and escalator? ​

Answers

The role of friction is of great importance when creating safety ramps and escalators because with the help of friction things move.

Why is it important to move objects slowly on ramps and escalator?

It is important to move objects slowly on ramps and escalator because the ramps and escalator moves object in the opposite direction of gravity. If we did not move objects slowly, then the objects or a person get damaged.

So we can conclude that the role of friction is of great importance when creating safety ramps and escalators because with the help of friction things move.

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what is importance of powder painting?

Answers

Answer:

It provides a more durable finish than liquid paints can offer, while still providing an attractive finish

17 which is right because it is

Static electricity is a ____ charge.
missing
temporary
flowing
permanent

Answers

Answer:

static electricity is a flowing charges

A 0.025 kg piece of clay is thrown into a wall and has a speed of 9 m/s before it strikes the wall. Find the
change in momentum, of the clay and the impulse exerted on the clay if it does not bounce from the wall.

Answers

Answer:

The impulse experienced by the object equals the change in momentum of the object. In equation form, F • t = m • Δ v. In a collision, objects experience an impulse; the impulse causes and is equal to the change in momentum.

Explanation:

When A 0.025 kg piece of clay is thrown into a wall and has a speed of 9 m/s before it strikes the wall then change in momentum 22.5 kg.m/s² is and impulse is 0.225 Ns.

What is Momentum ?

Momentum is defined as product of mass and velocity of the body. It is denoted by letter p and it is expressed in kg.m/s.

Mathematically p = mv.

it discuss the moment of the body. body having zero mass or velocity has zero momentum.

The dimensions of the momentum is [M¹ L¹ T⁻¹].

Given,

mass of the clay = 0.025 Kg

Speed of the clay = 9m/s

The momentum of clay is P = mv = 0.025×9 =0.225 kg.m/s

In this problem a piece of clay having mass 0.025 Kg, velocity of clay is 9m/s.

By using formula,

change in momentum of the clay = dp/dt

We must know about change in time in order to calculate change in momentum with respect to time.

Consider that the change in momentum is 0.01s.

dp/dt = p₂-p₁/t₂-t₁ = 0- 0.225/0.01 = 22.5 kg.m/s²

Impulse = dp/dt×Δt = 22.5×0.01 = 0.225 Ns

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Which type of radiation is associated with high frequency waves?

Answers

Answer:

Gamma rays

Explanation:

have the highest energies, the shortest wavelengths, and the highest frequencies. Radio waves, on the other hand, have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation.

What type of monomers make up liquids

Answers

Answer:

Carbohydrates - monosaccharides.

Lipids - glycerol and fatty acids.

Nucleic acids - nucleotides.

Proteins - amino acids.

Explanation:

A graphic organizer is a written out explanation of similarities and differences among topics.

Answers

Answer:

False

Explanation:

A graphic organizer is a written out explanation of similarities and differences among topics. A graphic organizer is a visual representation. Another name for a chart is "Venn diagram." Compare and contrast graphic organizers identify only similarities among sets of information.

Make the following conversion:


A) 60∘C into F

B)70∘C into K

C) 303∘K into C

D) 140∘F into C


If you don't know what I mean by C, F, K and ∘ it meaning is:

C- Celsius

F- Fahrenheit

K- kelvin
∘- degree sign

Answers

Answer:

Kelvin to Celsius: C = K - 273 (C = K - 273.15 if you want to

astronomers have found water on mars.
venus has an atmosphere.
why do these planets not support life?

Answers

The thin atmosphere of Mars is thought to be due to the planet's lack of a magnetic field, which has allowed the Solar wind to blow away much of the gas the planet once had. Venus, despite still having a thick atmosphere of CO2, surprisingly has a similar problem

An athlete wants to refill an old punching bag used for training, as shown in the picture. When refilled, the bag will rip if it is kicked with too much force

Answers

The maximum force that the athlete exerts on the bag is NEGATIVE 1,500 N and in the OPPOSITE DIRECTION of the force that the bag exerts on the athlete.

Newton's third law of motion

Newton's third law of motion states action and reaction are equal and opposite. That is the force applied to an object is equal in magnitude to force experienced by the object but in opposite direction.

From the given question, when the bag exert a certain on the athlete, the athlete also exerts similar force to the bag but in opposite direction.

Thus, the complete sentence is as follows;

The maximum force that the athlete exerts on the bag is NEGATIVE 1,500 N and in the OPPOSITE DIRECTION of the force that the bag exerts on the athlete.

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a ground-fault circuit interrupter shuts down a circuit if it?

a. melts.

b. senses an overload.

c. senses unequal currents.

d. senses moisture

Answers

C: if it senses unequal currents

grrr i don't have much time, help please T^T
will give brainlist and points! I'LL OWE YOU FOREVER​

Answers

Answer:

2. ( b ) zero

3. ( c ) 10 s

4. Uniform then decreasing

Explanation:

2.

Since the motion is uniform, initial and final velocity will be 0, hence acceleration will be zero.

3.

Initial velocity ( u ) = 5 m/s

Final velocity ( v ) = 35 m/s

Acceleration ( a ) 3 m/s^2

To find : Time ( t )

Formula : -

t = v - u / a

 = 35 - 5 / 3

 = 30 / 3

t = 10 s

Answer:

See below ~

Explanation:

Q2

The uniform circular motion in the movement of object in a circular path with fixed and perpendicular on the direction of the motion acceleration.

d

Q3

Substitute the values in : v = u + at35 = 5 + 3t3t = 30t = 10s (c)

Q4

The vertical component for a projectile by acute angle on the horizontal axis changes from decreasing then increasing velocity.

d

Two students are observing the motion of a Mercedes Benz. They calculate, with various handy dandy gadgets, that the Benz is changing its speed constantly by 2.2 m/s every second while moving along a straight road.
Student 1: The Benz is traveling at a constant velocity. Therefore at the end of 2 seconds it's speed will still be 2.2 m/s.
Student 2: No, the Benz is not traveling at constant velocity. At the end of two seconds the speed would have increased by 4.4 m/s.
Which student do you agree with and why? Discuss all parts of all statements made by both students. Saying I agree with student 1 or 2 or neither will not suffice.

Answers

Student 2 is correct. The Benz is not traveling at constant velocity. At the end of two seconds the speed would have increased by 4.4 m/s.

Final velocity of the Benz

The final velocity of the benz is determined by using first kinematic equation;

v = u + at

where;

u is the initial velocitya is the final velocity = (2.2 m/s) / 1s = 2.2 m/s²t is the time

v = 2.2 + (2.2 x 2)

v = 6.6 m/s

Change in velocity

Δv = 6.6 m/s - 2.2 m/s = 4.4 m/s

Thus, student 2 is correct. The Benz is not traveling at constant velocity. At the end of two seconds the speed would have increased by 4.4 m/s.

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List four conditions that may result in the emission of electrons from a conductor.

Answers

Answer:

1 Conditions that result in the emission of electrons from a conductor:

Heating the conductor to a suitable temperature

Exposing the conductor to a strong light

Subjecting the conductor to a very high applied voltage

Subjecting the conductor to high-speed electrons from another source

2 Both diodes and triodes influence current flow and contain electrodes. Diodes involve only two active pieces; triodes contain three electrodes within a tube. Current can flow through a diode in only one direction. Diodes tend to act as rectifiers. In a triode, the third electrode is a grid located between the cathode and the anode. A small difference of potential between the grid and the cathode controls the number of electrons that reach the anode. Adjusting the charge on the grid affects the number of electrons that can reach the anode. Triodes tend to act as amplifiers.

3  a Transmitting antenna

b Modulator

c Oscillator

d Microphone

4  a RF amplifier

b Receiving antenna

c Loudspeaker

d Demodulator

e Tuner

5 hue, saturation, intensity/brightness

6 red, blue, green

Explanation

PF right from PF all 6 answers

There are four main ways in which electrons are emitted from the conductor including Thermionic emission, Electric field electron emission,  Photoelectric emission, and Secondary emission.

What is a conductor?

A conductor is a substance or material which allows electricity to flow through it. In a conductor, the electrical charge carriers, usually electrons or ions or charged particles, move easily from one atom to another atom when the voltage is applied.

Thermionic emission involves large amount of external energy in the form of heat is supplied to release free electrons from the metal.

In the electric field electron emission, electrons are emitted from the metal surface when the metals are placed in a very strong electric field.

During photoelectric emission, light is absorbed by the metals and this provides energy to the valence electrons in the conductor which break their bond with the parent atom and which are then released from the atom.

Valence electrons have kinetic energy, however they don't have enough energy to escape from the atom. During secondary emission, a high-speed electron from the conductor is bombarded with an atom, which provides energy for the valence electrons to break their bonds with their parent atom which are then released from the atom.

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Two students, Jordan and Taylor, are talking about light. Jordan says that light behaves as a stream of particles. Taylor declares that light behaves as a wave. Which student is correct?

Answers

Answer:

"Both students are correct. When light is traveling through small openings, solids, liquids, gases, or a vacuum, it behaves like a wave. When it interacts with matter, it acts like a stream of particles."

Explanation:

just got it right

One light ray labeled a striking a boundary with two light rays labeled b and c reflecting off. c is at the same angle and b is at an angle smaller than a. light ray d is into the material at the same angle of a and e into the new material is at a much larger angle. which pair shows the law of reflection? a and b a and c a and d a and e

Answers

Answer:

A & C

Explanation:

Answer:

A and C

Explanation:

i. Calculate the average velocity of a motor cycle that travels 72km/hr 20 seconds.​

Answers

The motorcycle's average velocity will be 20 m/sec. The ratio of the overall distance traveled to the total time taken by the body is the average velocity.

What is average velocity?

The average velocity is the ratio of the total distance traveled to the total time taken by the body. Its unit is m/sec.

V= 72km/hr =20 m/sec

Total distance travelled by the  motorcycle;

D= v ×t

D=(20 m/sec)×20 sec

D=400 m

The average velocity is:

[tex]\rm v_{avg}=\frac{d_{total}}{t_{total}} \\\\ \rm v_{avg}=\frac{400}{20} \\\\ v_{avg}=20 m/sec[/tex]

Hence,the motorcycle’s average velocity will be 20 m/sec.

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Two charged plates separated by 15 cm create a uniform electric field of 360 n/c. what is the potential difference between the plates?

Answers

When two charged plates are separated by a distance, the potential difference between the plates is 54 Volts.

What is uniform electric field?

The electric field intensity which does not increase or decrease with time or remain constant is called the uniform electric field.

Given is the plates separated by distance d = 15 cm =0.15 m, electric field E= 360 N/C.

The relation between the electric field and voltage is

E=V/d

Substitute the values into the expression to get the potential difference V,

V = 360 x 0.15

V = 54 Volts

Thus, the potential difference between the plates is 54 Volts.

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Explain why you press against the seat when you take off fast at the beginning of the roller coaster ride. (Hint: relates to Newton’s first law)

Answers

Answer

When you are riding in a coaster car that is traveling at a constant speed, you only feel the downward force of gravity. But as the car speeds up or slows down, you feel pressed against your seat or the restraining bar. You feel this force because your inertia is separate from that of the coaster car.

Explanation:

Two electrons (-1.6 x 10-19 C) are separated by an insulator at a distance of 0.10 mm. Which of the following is the electrostatic force between these electrons?​

Answers

The electrostatic force between these electrons will be 2.3×10⁻²⁰ N.

What is Columb's law?

The force of attraction between two charges, according to Coulomb's law, is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Charges that are similar repel each other, whereas charges that are diametrically opposed attract each other.

They will repel, moving in opposite directions at the same speed. Because the magnitude and nature of the charge are same.

The electrostatic force between these electrons is;

[tex]\rm F= \frac{Kq_1q_2}{r^2} \\\\ F=\frac{9 \times 10^9 \times -1.6 \times 10^{-19} \times- 1.6 \times 10^{-19} }{(0.10 \times 10^-3)^2} \\\\F= 2.3 \times 10^{-20} \ N[/tex]

Hence, the electrostatic force between these electrons will be. 2.3×10⁻²⁰ N.

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which of the following is correct based on the given illustration?

A. south Pole experiences autumn while North Pole experiences Winter

B. South Pole experiences summer while North Pole experiences Spring

C. North Pole experiences summer while South Pole experiences Winter

D. North Pole experiences winter while South Pole experiences summer

*The Subject is Science btw*

Answers

C and D are both possible.
But we have no idea which one is correct based on the given illustration, because you didn't give the illustration.

A train travels a distance of 1275 m at 92.1 m/s how long does it take?
1180 s
117.000 s
13.85
0.0722 s

Answers

The time taken by the train will be 13.84 sec. Time taken is the ratio of the distance and speed.

What is distance?

Distance is a numerical representation of the distance between two objects or locations.

Distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.

Distance is found as the product of the speed and velocity.

Distance = speed × time

time = Distance/speed

time= 1275 (m)/92.1( m/sec)

time(t) =13.84 sec

Hence, the time taken by the train will be 13.84 sec

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What can spectroscopes tell us about a space object?
A. provide imagery

B. calculate location

C. determine temperature, chemical composition, and speed

D. determine temperature, chemical composition, and size

Answers

Answer:

The answer is C.

Explanation:

Spectroscopy can be very useful in helping scientists understand how an object like a black hole, neutron star, or active galaxy produces light, how fast it is moving, and what elements it is composed of.

Answer:

[tex]\huge\boxed{\sf Option \ 3}[/tex]

Explanation:

Spectroscope:The device used to tell the properties of the spectral lines in an electromagnetic spectrum is called spectroscope. Properties of spectroscope:For any space object, spectroscope tells:Type of element the object is made of.Temperature of object.Chemical composition.SpeedMagnetic and electric field.Spectroscope also can tell the light intensity and their wavelength.

[tex]\rule[225]{225}{2}[/tex]


In 1993, the gold reserves in the United States were about 8.490 x 10^6

Answers

Mass of gold :-8.490×10⁶kgDensity=19300kg/m³

Volume?

Let's see

Volume:-

Mass/Density8.49×10⁶/193000.000439×10⁶439m³

What is the acceleration of a 25 kg box that has 50 N of force applied to the right?
1. 2m/s/s
2. 10m/s/s
3. 1,250m/s/s

Answers

Answer:

1. 2 m/s/s

Explanation:

Formula

Force = Mass x Acceleration

50 N = 25 kg x (a)a = 50/25a = 2 m/s/s

the speedodemeter of a car moving northward reads 60 km/hr. it passes another car that travels south at 60 km/hr. do both cars have the same speed and velocity?

Answers

Answer:

It passes another car that travels southward at 60 km/h. Do both cars have the same speed? Do they have the same velocity? Answer: Both cars have the same speed, but they have opposite velocities because they are moving in opposite directions.

Explanation:

Answer:

See below ~

Explanation:

As the magnitude (absolute numerical value) of both cars are equal, they both have the same speed.

But, as they are travelling in opposite ways, they have different directions. Hence, they have different velocities.

Why we do not have a solar eclipse during every ""new moon"" phase.

Answers

Answer:

The solar eclipse stopped years ago due to the moon, sun, and earth's alignment not being able to sync like it did before.

HELP ME ASAP PLEASE!!!!!
What is the wavelength of an infrared wave with a frequency of 4.0E14 Hz.

Answers

Answer:

f λ = c = 3.00E8      frequency * wavelength = speed of light

λ = c / f = 3.00E8 / 4.0E14 = 7.5E-7 m

Note 1 angstrom = 1.00E-10 m and 1 milli-micron = 1.00E-9 m

So the wavelength would be 7500 angstroms

The visible spectrum is 4000 A - 7000 A  or 400 - 700 milli-microns

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