Spheres

Practice Questions

SAT Math › Spheres

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1

Find the diameter of a sphere with a surface area of .

2

Find the diameter of a sphere with a surface area of .

3

Find the surface area of a sphere whose radius is .

4

A foam ball has a volume of 2 units and has a diameter of x. If a second foam ball has a radius of 2x, what is its volume?

5

Find the surface area of a sphere whose radius is .

6

A foam ball has a volume of 2 units and has a diameter of x. If a second foam ball has a radius of 2x, what is its volume?

7

A sphere with radius fits perfectly inside of a cube so that the sides of the cube are barely touching the sphere. What is the volume of the cube that is not occupied by the sphere?

8

A sphere with radius fits perfectly inside of a cube so that the sides of the cube are barely touching the sphere. What is the volume of the cube that is not occupied by the sphere?

9

Let be a point on a sphere, and be the point on the sphere farthest from . The shortest distance from to along the surface is . Give the surface area of the sphere.

10

Let be a point on a sphere, and be the point on the sphere farthest from . The shortest distance from to along the surface is . Give the surface area of the sphere.

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