How to find the volume of a sphere

Practice Questions

ACT Math › How to find the volume of a sphere

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1

What is the volume of a sphere with a diameter of 6 in?

2

What is the volume of a sphere with a diameter of (reduce all fractions)?

3

Find the volume of a sphere whose diameter is .

4

The specifications of an official NBA basketball are that it must be 29.5 inches in circumference and weigh 22 ounces. What is the approximate volume of the basketball? Remember that the volume of a sphere is calculated by V=(4πr3)/3

5

If Ariana’s orange has twice the radius of Autumn’s orange, the volume of Ariana’s orange is how many times larger than the volume of Autumn’s orange?

6

What is the volume of a sphere with a surface area of ? (Simplify all fractions in your answer.)

7

A cube has a side dimension of 4. A sphere has a radius of 3. What is the volume of the two combined, if the cube is balanced on top of the sphere?

8

If the diameter of a sphere is , find the approximate volume of the sphere?

9

For a sphere the volume is given by V = (4/3)πr_3 and the surface area is given by A = 4_πr_2. If the sphere has a surface area of 256_π, what is the volume?

10

What is the volume of a sphere with a diameter of inches? Leave your answer in terms of .

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