what is the volume of a sphere with an 8 cm radius

Answers

Answer 1

Answer:

Approx. 2140.16 cubic centimeters

Step-by-step explanation:

[tex]Volume=\frac{4}{3}\pi r^{3} \\V=\frac{4}{3}(3.14)(8)^{3} \\V=4.18(8)^{3} \\V=4.18(512) \\V=2140.16[/tex]


Related Questions

HELLPPPPP ASAAPPPP.

Answers

The picture is black please upload it again


ABCD is a quadrilateral
a) calculate the value of x.
b) when ABCD is drawn to scale would the lines be parrallel or not?

Answers

Answer: a. x = 45 b. No

Explanation: a. 360-90=270
3x+2x+x= 6x and 6x=270 so divide both sides by 6x and x = 45

b. As you can see from the image below None of the lines would be parallel.



The first term in an arithmetic sequence is -3. If the sequence has a common difference of 8, what is the 30th term in the sequence?

Will give brainliest to right answer :))

Answers

Answer:

229

Step-by-step explanation:

(my work for the problem is in the photo I attached)

(I also wrote this step-by-step in the photo because I can explain things better as I do them)

This will be a little bit confusing without me writing out the numbers, so mainly this is if you can't read my handwriting

  -3       + 8         =      5    ;  5       + 8    =     13

(1st term)                   (2nd term)            (3rd term)

Instead of adding 8 repeatedly (repeated addition), we can use multiplication.

To get the 3rd term in this sequence, we had to add 8 twice, which could also be done by multiplying 8 twice (8 x 2)

13 + 8 = 21

         (4th term)

to get the 4th term, we added 8 three times (or, 8 x 3)

So, if we are looking for the 30th term in a sequence, we will have to add 8, 29 times (8 x 29) to our original term.

8 x 29 = 232

-3 + 232 = 229

This means that the 30th term of the sequence will be 229.

Your friend simplifies the expression. Is your friend correct?

( i didnt mean to click yes )

Answers

Answer:  No

Reason:

The friend should have multiplied the exponents.

This is what the steps should look like:

[tex](r^6)^4 = r^{6*4}\\\mbox{ \ \ \ \ \ \ } =r^{24}[/tex]

The reason for the multiplication is because we have four copies of [tex]r^4[/tex] added together. Repeated addition can be shortened to multiplication.

In other words,

[tex](r^6)^4 = (r^6)*(r^6)*(r^6)*(r^6) = r^{6+6+6+6} = r^{6*4} = r^{24}[/tex]

For this graph, mark the statements that are true.
M
-1-
A. The range is the set of all real numbers.
B. The domain is the set of all real numbers.
C. The domain is the set of all real numbers greater than or equal to
-2.
D. The range is the set of all real numbers greater than or equal to
zero.

Answers

The true statements for this graph are:

B. The domain is the set of all real numbers.

D. The range is the set of all real numbers greater than or equal to zero.

What is a domain?

A domain can be defined as the set of all real numbers for which a particular function is defined. For this graph, the vertex of the parabola is (1, 0) and as such, the equation will be given by:

y = (x - h)² + k

y = (x - 2)² + 0

y = x² -4x + 4

Therefore, the graph's domain include a set of all real numbers.

What is a range?

A range refers to a set of all real numbers that connects with the elements of a domain. For this graph, we can observe that only real numbers greater than or equal to zero (0) are connected to the values on the x-axis of the domain.

In conclusion, we can logically deduce that the true statements for this graph are:

Its domain include all real numbers.Its range include all real numbers that are greater than or equal to zero (0).

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what is P(2 or divisor of 9)?
please explain!

Answers

The probability that a divisor of 2 or 9 is chosen when the spinner is spun once is 2/3.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

P(2 or divisor of 9) = section that has a divisor of 2/ total number of sections + section that has a divisor of 2/ total number of sections

1/3 + 1/ 3 = 2/3

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could someone please answer this will give brainliest

Answers

You would need 104 inches.
Explanation:


Which of the following is not a way to represent the solution of the inequality 5(x + 2) 2 7x + 2(x - 1)?

Answers

The following way is a way which can not be used to represent the solution of 5(x + 2) ≥ 7x + 2(x - 1) is "A number line with a closed circle on 3 and shading to the right".

How to solve inequality?

5(x + 2) ≥ 7x + 2(x - 1)

5x + 10 ≥ 7x + 2x - 2

5x + 10 ≥ 9x - 2

collect like terms

5x - 9x ≥ -2 - 10

-4x ≥ - 12

x ≤ -12/-4

x ≤ 3

Therefore, the correct answer is "A number line with a closed circle on 3 and shading to the right".

The complete question:

Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x − 1)? . A number line with a closed circle on 3 and shading to the right. . A number line with a closed circle on 3 and shading to the left. . 3 greater than or equal to x . x less than or greater to 3

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Drag each tile to the correct box.
A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest.
maximum
minimum
Q3
Q1
median
< < <

Answers

The five-number summary as displayed in a box plot attached below, from the least to the greatest is: Minimum < Q1 < Median < Q3 < Maximum

What is the Five-number Summary?

The five-number summary can be described as a set of data points or values that summarizes the distribution of a data.

The diagram attached below shows the five-number summary as displayed by a box plot.

From the least to the greatest, the five-number summary consist of:

Minimum < Q1 < Median < Q3 < Maximum

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The midpoint of AB given A (3, -12) and B (-1, -2) is (x, y). What are the
values of x and y?

Answers

Answer:

(1, - 7 )

Step-by-step explanation:

using the midpoint formula

given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then

midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = A (3, - 12 ) and (x₂, y₂ ) = B (- 1, - 2 )

midpoint = ( [tex]\frac{3-1}{2}[/tex] , [tex]\frac{-12-2}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-14}{2}[/tex] ) = (1, - 7 )

Step-by-step explanation:

[tex] x_{m} , y_{m} \: = ( \frac{x _{1} + x_{2} }{2} ,\frac{y _{1} + y_{2} }{2}) \\ [/tex]

x1 = 3, x2 = (-1)

y1 = (-12), y2 = (-2)

[tex] x_{m} , y_{m} \: = ( \frac{3+ ( - 1) }{2} ,\frac{( - 12)+ ( - 2) }{2}) \\ [/tex]

[tex]x_{m} , y_{m} \: = ( \frac{3 - 1 }{2} ,\frac{( - 12) - 2 }{2}) \\ [/tex]

[tex]x_{m} , y_{m} \: = ( \frac{2 }{2} ,\frac{- 14 }{2}) \\ [/tex]

[tex]x_{m} , y_{m} \: = 1 ,( - 7)[/tex]

A square has a perimeter of 36x - 12. Which expression represents one side of the
square?

Answers

Answer:

9x - 3

Step-by-step explanation:

Hello!

A square has 4 sides.

We can factor out 4 from the expression to find the value of one side.

Factor:

36x - 124(9x) - 4(3)4(9x - 3)

This means that each side of the square is 9x - 3 units long.

Question 11
Solve the simultaneous equations
4x + 2y = 9
x - 2y = 1

Answers

The value of x and y is (5,2)

We have given that,

4x + 2y = 9 ........(1)

x - 2y = 1.......(2)

We have to solve the simultaneous equation

What is the simultaneous equation?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

adding equations 1 and 2 so we get,

4x + 2y = 9

x - 2y = 1

----------------

5x-0y=10

[tex]5x=10\\x=10/2\\x=5[/tex]

Use the value of x in equation 2 so we get,

[tex]5-2y=1[/tex]

[tex]-2y=1-5[/tex]

[tex]-2y=-4[/tex]

[tex]y=-4/-2[/tex]

[tex]y=2[/tex]

Therefore the value of x and y is (5,2)

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Miguel wants to build a container out of sheet metal that has a volume of about 320 cubic inches . He
can choose from the following designs listed below.. Which of the objects described requires the lea
amount of sheet metal? Assume that no sheet metal will be wasted in the construction. Explain why
your answer is correct and why other options are incorrect. (Show the volume of each described objer
in your explanation).
a) A rectangular prism with length 8 in., width 8 in., and height 5 in.
b) A rectangular prism with length 10 in., width 8 in., and height 4 in.
c) A cylinder with radius 5 in., and height 4 in.
d) A square pyramid with base length 10 in., height 10 in., and slant height about 14 in.

Answers

Answer:

  cylinder, has the least surface area

Step-by-step explanation:

We are to choose the shape that has the least surface area for the approximate volume desired. In general, the least area for the volume will be provided by a sphere, a "square" cylinder with height equal to diameter, and a cube, in order of increasing area.

__

We are asked to find the area and volume of two rectangular prisms, a cylinder, and a square pyramid. Then, we are to identify the shape with the least surface area. Volume and area formulas will be used for the purpose.

Rectangular Prism

The relevant formulas are ...

  V = LWH

  A = 2(LW +H(L +W))

for length L, width W, and height H.

a) prism 1

The given dimensions are L = W = 8 in, H = 5 in. Then the volume and area are ...

  V = (8 in)(8 in)(5 in) = 320 in³

  A = 2((8 in)(8 in) +(5 in)(8 in +8 in)) = 2(64 in² +80 in²) = 288 in²

b) prism 2

The given dimensions are L = 10 in, W = 8 in, H = 4 in. Then the volume and area are ...

  V = (10 in)(8 in)(4 in) = 320 in³

  A = 2((10 in)(8 in) +(4 in)(10 in +8 in)) = 2(80 in² +72 in²) = 304 in²

__

Cylinder

The relevant formulas are ...

  V = πr²h

  A = 2πr(r +h)

for radius r and height h.

c) The given dimensions are r = 5 in, h = 4 in. Then the volume and area are ...

  V = π(5 in)²(4 in) = 100π in³ ≈ 314 in³

  A = 2π(5 in)(5 in +4 in) = 90π in² ≈ 283 in²

__

Square Pyramid

The relevant formulas are ...

  V = 1/3s²h

  A = s(s +2H)

for base side dimension s, vertical height h, and slant height H.

d) The given dimensions are s = 10 in, h = 10 in, H = 14 in. Then the volume and area are ...

  V = 1/3(10 in)²(10 in) = 1000/3 in³ ≈ 333 in³

  A = (10 in)(10 in + 2×14 in) = 380 in²

__

Summary

The proposed figures have volume and area (rounded to the nearest unit) as follows:

  [tex]\begin{tabular}{|c|c|c|c|}\cline{1-4}&shape&V (in^3)&A (in^2)\\\cline{1-4}a&rect prism&320&288\\b&rect prism&320&304\\c&cylinder&314&\bf283\\d&pyramid&333&380\\\cline{1-4}\end{tabular}[/tex]

The proposed cylinder requires the least amount of sheet metal for its construction. It has the least surface area of all of the shape choices offered.

_____

Additional comment

For a volume of 320 in³, a cube would have a surface area of 280.7 in². A "square" cylinder would have an area of 260.0 in². A sphere would have an area of 226.2 in². The above areas are somewhat larger because the shapes depart from the ideal aspect ratio.

15 Points, please help me dude I keep getting troll answers. ​

Answers

64

x=154(vertically opposite angle)

d =p

then mpn =154-90 = 64

angle epm is straight angle

how many whole weeks are in a year

Answers

Answer:

52 weeks are there in a year

Step-by-step explanation:

365/7

What is the perimeter of triangle ABC? Round answer to the nearest tenth.

A. 12 meters
B. 20.5 meters
C. 22.4 meters
D. 18 meters

Answers

Step-by-step explanation:

this is an isoceles, right-angled triangle.

but legs are equally long (6 m), and the baseline is per Pythagoras

baseline² = leg1² + leg2² = 6² + 6² = 36 + 36 = 72

baseline = sqrt(72) = 8.485281374... m

so, the perimeter is

6 + 6 + 8.485281374... = 20.485281374... ≈ 20.5 m

so, B is the right answer.

The Perimeter of Triangle is 6(2 + √2).

what is Trigonometry?

A branch of mathematics called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided form can be decomposed into a group of triangles, trigonometry may be found across all of geometry.

The area of mathematics known as trigonometry examines the link between the ratios of a right-angled triangle's sides to its angles. Trigonometric ratios, such as sine, cosine, tangent, cotangent, secant, and cosecant, are employed to analyse this relationship.

Given:

Perpendicular = 6 m

Using Trigonometry

sin 45 = P/H

1/√2 = 6/ H

H= 6√2

and, tan 45 = P/ B

1= 6/ B

B= 6

So, the perimeter of triangle

= 6 + 6 + 6√2

= 12 +6√2

= 6(2 + √2)

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9 What is the next whole number after twenty thousand ? Write your answer in figures .
10 What is the next whole number after one hundred thousand ? Write your answer in figures .
11 What is the last whole number before five thousand ? Write your answer in figures .
12 What is the last whole number before one million ? Write your answer in figures .​

Answers

Answer:

9. 20,001

10. 100,001

11. 4,999

12. 999,999

Step-by-step explanation:

The table below shows the amount of time a light stays green, red, and yellow (for one cycle) during the day and during the night. Day Night Light is green 2 minutes 3 minutes Light is red 3 minutes 4 minutes Light is yellow 20 seconds 30 seconds Is it more likely for you to have to wait at red light during the day or at night? How much more likely? Show all of your work. WRITER

Answers

The table shows that it is more likely to wait at red during daytime by 2.92%.

How to explain the information given?

Day

Green = 2 min

Red = 3 min

Yellow = 20 sec = 0.333 min

Total day cycle time= 5.33 min

Night

Green = 3 min

Red = 4 min

Yellow = 30 sec = 0.5 min

Total night cycle time= 7.5 min

Pday= 3 min/5.33 min= 0.5625

Pnight= 4 min/7.5 min= 0.5333

Pdifference= 0.02917 = 2.92%

Therefore it is more likely to wait at red during the daytime by 2.92%.

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What is the measure of the arc from A to B that does not pass through C?

(Fill in the blanks)

Answers

Applying the inscribed angle theorem, the measure of the arc from A to B is: 100 degrees.

What is the Inscribed Angle Theorem?

The inscribed angle theorem states that an inscribed angle in a circle is half the central angle.

Angle BAC = 40 degrees, so, central angle = 80 degrees. Arc BC would also be 80 degrees.

Measure of arc AC through point B = 180 degrees.

Arc AB = 180 - 80 = 100 degrees.

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口 6. Write the following inequality in slope-intercept form.
-6x + 3y ≥ -45
O
O
O
O
y≤ 2x + 15
y≤ 2x - 15
y≥ 2x - 15
y≥ 2x + 15

Answers

Answer:

[tex]y = mx + b[/tex]

[tex]y \geqslant 2x - 15[/tex]

I hope this helps

Find the perimeter please

Answers

Questions:- perimeter

Explanation:- one side is 10 cm another opposite to it

6+x= 10

x= 4 units

so now perimeter

[tex]8 + 8 + 10 + 8 + 4 + 10 \\ 16 + 8 + 4 + 20 \\ 20 + 8 + 20 \\ 40 + 8 = 48 \: units[/tex]

The water was pumped out of a backyard pond. What is the domain of this
graph?
Water Depth
110
100
90
80
70
50
40
30
20
10
1 2 3 4 5 6 7 8 9 10 11 12 13
Time (minutes)
Depth (inches)
0

Answers

Using it's concept, it is found that the domain of the function is given by:

C. Real numbers between 0 and 12.

What is the domain of a function?


The domain of a function is the set that contains all possible input values of the function. In a graph, it is given by the values of the horizontal axis.

In the graph, the function is defined for real numbers between 0 and 12, hence option C is correct.

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There is a 30% chance that Jerry will have to wait for the bus for more than five minutes to go to office. What is the probability that he does not wait for more than five minutes all 5 days this week?

Answers

The probability that he does not wait for more than five minutes all 5 days this week is 0.16807

How to determine the probability?

The probability that he waits for more than 5 minutes is:

p = 30%

This means that the probability that he does not wait for more than 5 minutes is

q = 70%

If he does not wait for more than five minutes all 5 days this week, the probability is:

P = q^5

This gives

P = (70%)^5

Evaluate

P = 0.16807

Hence, the probability that he does not wait for more than five minutes all 5 days this week is 0.16807


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Maurice averaged 79 points for 6 tests. How many more points must he score in the next text to raise his average to 80.

Answers

Answer:

86 is the score that Maurice must get to average his score to 80

Find the exact value of sec(theta) if cot(theta)= -1/2 and the terminal side of theta lies in quadrant ii.

a. sec(theta)= -sqrt(5)/2
b. sec(theta)= sqrt(t)/2
c. sec(theta)= -sqrt(5)
d. sec(theta)= sqrt(5)

Answers

Using trigonometric identities, it is found that the exact value of the secant of the angle is given by:

c. [tex]\sec{\theta} = - \sqrt{5}[/tex]

How is the tangent related to the secant?

According to the following identity:

[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]

The tangent is the inverse of the cotangent, hence in this problem, we have that:

[tex]\tan{\theta} = -2[/tex]

Then, the secant is given as follows:

[tex]\sec^2{\theta} = 1 + (-2)^2[/tex]

[tex]\sec^2{\theta} = 5[/tex]

[tex]\sec{\theta} = \pm \sqrt{5}[/tex]

The angle is in the second quadrant, where the cosine is negative, hence the secant also is and option c is correct, that is:

c. [tex]\sec{\theta} = - \sqrt{5}[/tex]

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pleaseeee help me out

Answers

Answer:

78

Step-by-step explanation:

QT is a 180 straight line so 180-55-47

Hope its right!

Answer:

U-60

S-90

Q-80

ur welcome

You pick a card at random.
3 4 5
what is p(not less than 5)?
write your answer as a fraction or whole number.

Answers

10
10/1 1/10
Would be the answer

PLEASE HELP find the arch shown in red leave your answer in terms of pi

Answers

Answer:

Answer:1296π

Step-by-step explanation:

As we know,

Area of cicle=πr^2

= π(36)^2

=1296π

What is the area of the base of the prism?
1 square centimeters
what is the volume of the prism?
cubic centimeters

Answers

The base area of the prism is 36 square centimeters and the volume of the prism is 288 cubic centimeters

How to determine the base area?

The base area is calculated as:

Base area =Length * Width

From the complete question (see attachment), we have:

Length = 12

Width = 3

So, we have:

Base area = 12 * 3

Base area = 36

How to determine the volume?

The volume is calculated as:

Volume = Base area * Height

So, we have:

Volume = 36 * 8

Evaluate

Volume = 288

Hence, the volume of the prism is 288 cubic centimeters

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sectors of circle. east points, this is due tomorrow help is appreciated

Answers

By knowing the circumference of the base of the cone, we see that the radius is 4 centimeters.

How to find the radius of the cone?

Notice that in the first figure, the length of the arc AB is L = 8π cm.

Then, that arc will be the bottom part of the cone. Then we can see that the circumference of the base of the cone will be equal to the length of the arc.

And remember that for a circle of radius R (like the base of the cone), the circumference is:

C = 2πR.

Then we will get:

8π cm = C =  2πR

( 8π cm)/ 2π = R

4cm = R

The radius of the cone is 4cm.

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