Hector is finding the volume of a cone and the volume of a cylinder. Both the cone and the cylinder have a radius of 3 inches and a height of 5 inches. What is the volume, in cubic inches, of the cone?

Answers

Answer 1

Answer:

the volume of the cone is

15in^3

Step-by-step explanation:

Step one:

parameters of the cone

radius r = 3 in

height h= 5 in

Step two:

the expression for the volume of the cone is

V= 1/3πr^2h

substitute

[tex]V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3[/tex]


Related Questions

3x-9=7x+14 solve for x

Answers

Answer:

x= - 23/4

Step-by-step explanation:

Add  9  to both sides of the equation:

3x -9 = 7x +14

3x- 9 + 9 = 7x +14 +9

Simplify:

3x -9 + 9 = 7x +14 +9

3x = 7x +14 +9

3x =7x +14 +9

Subtract 7x from both sides of the equation:

3x= 7x +23

3x -7x = 7x +23 - 7x

Simplify Again:

3x -7x = 7x +23 -7x

-4x =23

Combine like terms:

-4x =23

Divide both sides of the equation by the same terms:

14x/ 14  = 23/ -4

Cancel terms that are both the numerator and the denominator:

x= - 23/- 4

Answer:

x= - 23/4

the volume of a cube is 216ft3. what is the length of a side?

Answers

216cm^2

Volume of cube= 216 ft^3

l^3= 216

l= Cube root of 216

l= 6

SA=6*l^2

=6*6*6

=216 cm^2

Answer:

Z

Step-by-step explanation:

What is the smallest rotational symmetry of a rhombus?

Answers

A rhombus has rotational symmetry of 180º (Order 2). sides and 4 right angles. A square has two pairs of parallel sides. A square has all four sides congruent.

A standard shower head uses 18 gallon of water in 3 minutes. If 270 gallons were used, how many minutes were spent in the shower?

Answers

Answer:

the answer is 45 minutes, hope this helped :-)

Step-by-step explanation:

18:3=6

270:6=45

Answer:they spent 15 minutes in the shower

Step-by-step explanation:

Look at the triangular prism. Work out the volume of the prism.

Answers

Answer:

See explanation

Step-by-step explanation:

The question has missing details, as the diagram of the prism is not shown.

However, I'll solve using a general rule.

The volume of a triangular prism is:

[tex]Volume = \frac{1}{2}* b * h * l[/tex]

Where

[tex]b = base[/tex]

[tex]h = height[/tex]

[tex]l = length[/tex]

Take for instance:

[tex]b = 20cm[/tex]

[tex]h = 10cm[/tex]

[tex]l = 5cm[/tex]

The volume is:

[tex]Volume = \frac{1}{2} * 20cm * 10cm * 5cm[/tex]

[tex]Volume = 10cm * 10cm * 5cm[/tex]

[tex]Volume = 500cm^3[/tex]

Another instance (see attachment).

From the attachment:

[tex]b = 4.5cm[/tex]

[tex]h = 5cm[/tex]

[tex]l = 8cm[/tex]

The volume is:

[tex]Volume = \frac{1}{2} * 4.5cm * 5cm * 8cm[/tex]

[tex]Volume = 2.25cm * 5cm * 8cm[/tex]

[tex]Volume = 90cm^3[/tex]

Please answer!! There's a screenshot

Answers

Answer: UMMMM I don't see a screenshot

Step-by-step explanation:

What decimal is equivalent to 4/15

Answers

Hey there!

In order for you to find out the decimal form a fraction, just simply DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number) and you should be able to find out your answer!

Formula:

NUMERAATOR / DENOMINATOR = ANSWER

NUMERATOR ➡️ 4

DENOMINATOR ➡️ 15

4 / 15 = answer

4 / 15 = 2.667

POSSIBLE ANSWER: 2.667 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Can somebody help me with this thank you.

Answers

I say 43. 5 x 8 = 40 + 3 more apples so it has to be 43!

someone help!!!!!!!!

Answers

Answer:

1) given

2) alternate interior angles

3) given

4) definition of midpoint

5) vertical angles

6) ASA

Step-by-step explanation:

Find g(x), where g(x) is the translation 2 units right of f(x)=|x|.

Answers

69 cause if you get it

A mouse ran a 360 centimeters course in 9 seconds , how fast did it run ?

Answers

Answer:

r=d/t

r=360 cm / 9 sec= 40 cm per second

Hope that helps :)

Answer:

40 centimeters per second.

Step-by-step explanation:

360 divided by 9= 40

ChIcKeN nUgGeTs :>

Question on the picture

Answers

Answer:

[tex]\mathtt{\huge\star{\pink{\underline{ option\: D }}}}\huge\star[/tex]

It should be question D

There are 347 students going on a field trip. Each bus holds 44 students. If each bus costs $95, is the total cost of the buses more than $1,000? Estimate, then find the exact answer.

Answers

Answer:

Total cost= $760

Step-by-step explanation:

Giving the following information:

Number of students= 347

Each bus holds 44 students.

Bus cost= $95

First, we need to determine the number of buses needed:

Number of buses= total students / student per bus

Number of buses= 347 / 44

Number of buses= 7.88 = 8 buses

Now, the total cost:

Total cost= 8*95

Total cost= $760

Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3). 9 square units 18 square units 18.5 square units 21 square units

Answers

9514 1404 393

Answer:

  18 square units

Step-by-step explanation:

Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...

  AB = 6√2

  CD =3√2

The area is half the product of the base (AB) and height (CD) so is ...

  A = 1/2bh = (1/2)(6√2)(3√2) = 18

The area of ΔABC is 18 square units.

_____

Additional comment

It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...

  c² = a² +b²

  c = 1² +1² = 2

  c = √2

Answer:

B: 18 square units

Step-by-step explanation:

I'm taking the exam

2.1834 around you to the nearest hundredth​

Answers

Answer:

2.18 I think this is the answer sorry if it's not-

Answer:

2,1044 is the correct answere

solve the equation by combining like terms: 3x-5+12-2x=12

Answers

Answer:

482

Step-by-step explanation:

3x-5=178+12=82-22x=482

3x-5+12-2x=12
X+7=12 (by combining like terms you have your X’s and your regular numbers. So in this equation we have 3x and -2x as like terms and -5 and 12 as like terms. We combine them to simplify the equation. So by combing 3x and -2x, 3+(-2x), we get 1x or just x. Then we combine -5 and 12, -5+12=7).
X+7=12
-7 -7
X=5
Good luck and I hope this helps!

does the graph represent a function?

Answers

Yes it does
..........

4.) 960 meters in 15 seconds
Write the following rate as a unit rate

Answers

Answer:

64

Step-by-step explanation:

960 divided by 15 is 64. The unit rate means one so you are trying to get it to 1 second so just do 15 divided by 15 which is 1, then 960 divided by 15 which is 64

Helppppp pleaseeeeee

Answers

Answer:

B) y=3 (x+3) -2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A grocery store determined that an increase in the price of milk does not imply that customers will buy more or less milk. What can we conclude?

A. There is no correlation between the price of milk and the amount of milk bought.

B. There is a correlation between the price of milk and the amount of milk bought. There may or may not be causation, but further studies would need to be done in order to study this.

C. There is a correlation between the price of milk and the amount of milk bought. However, there is no causation.

Answers

B. There is a correlation between the price of milk and the amount of milk bought. There may or may not be causation, but further studies would need to be done in order to study this

Which of these triangles appears notto be congruent to any others shown
here? Check all that apply.

A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F

Answers

I think it’s just f and d

Find the value of ‘n’ and measure-of each angle

Answers

Answer:

pleas give me free brainiest

Step-by-step explanation:

1. It is not possible for a triangle to have more than one vertex with internal angle greater than or equal to 90°, or it would no longer be a triangle. 2. The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°. 3. The sum of the lengths of any two sides of a...

6 = m/8 Solve the equation.

Answers

[tex]6=\frac{m}{8}\\x=48[/tex]

If two equations have the same slope but different y intercepts, what type of lines will they make if you draw them on the same graph
PLEASE HELP!! THANK U

Answers

Answer:

The answer will be two parallel lines.

Step-by-step explanation:

This occurs due to the fact that they have the same slope, so they will never cross each other.

Please please help please please

Answers

Answer:

A. 4/ 3

Step-by-step explanation:

With reference angle X

perpendicular (p) = 24

base (b) = 18

Now

tan X = p / b = 24 / 18 = 4 / 3

simplify [tex]\sqrt[4]{6^4}[/tex]

Answers

Answer:

6

Step-by-step explanation:

We can rewrite the expression as

(6^4) ^ (1/4)

We know that a^ b^c = a^ ( b*c)

6^4 ^ (1/4)

6 ^ ( 4*1/4)

6

Answer:

6

Step-by-step explanation:

[tex] \sqrt[4]{ {6}^{4} } [/tex]

The 4 root and the 4 exponent cancel out as these two are inverse variables, then we are left with our answer

[tex]6[/tex]

How is 80.106 written in expanded form?

Plzzzz answer asap

Answers

Answer:

[tex]80.106= 8 * 10 + 0 * 1 * 0.1 + 6 * 0.001[/tex]

Given:

80.106

Required:

Write in expanded form

First, we need the place value of each digit:

Next, we multiply each digit by its place value, to give the expanded form;[tex]8- > Tens- > 10\\0- > Units- > 1\\1- > Tenths- > 0.1\\0- > Hundreds- > 0.01\\6- > Thousands- > 0.001[/tex]

[tex]80.106= 8 * 10 + 0 * 1 * 0.1 + 6 * 0.001[/tex]

[WILL GIVE BRAINLIIEST! PLEASE HELP!!] In the first week of​ July, a record 1,040 people went to the local swimming pool. In the second​ week, 105 fewer people went to the pool than in the first week. In the third​ week, 145 more people went to the pool than in the second week. In the fourth​ week, 196 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

Answer:

13

Step-by-step explanation:

I'm just here for da points can I still get brainliitest?

Jupiter takes about 12 earth years to revolve around the sun

Answers

Answer:

Yess correct but what is full question

Given that the line y=mx+b has a slope of -3 and passes through (6,-4)

Find b, the value of the y-intercept of the line.

Answers

The equation would be y = -3x + 14
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