How to find the volume of a sphere

Practice Questions

PSAT Math › How to find the volume of a sphere

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1

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?

2

The surface area of a sphere is . Find the volume of the sphere in cubic millimeters.

3

A solid hemisphere has a radius of length r. Let S be the number of square units, in terms of r, of the hemisphere's surface area. Let V be the number of cubic units, in terms of r, of the hemisphere's volume. What is the ratio of S to V?

4

At x = 3, the line y = 4_x_ + 12 intersects the surface of a sphere that passes through the xy-plane. The sphere is centered at the point at which the line passes through the x-axis. What is the volume, in cubic units, of the sphere?

5

A cube with sides of 4” each contains a floating sphere with a radius of 1”. What is the volume of the space outside of the sphere, within the cube?

6

A cross-section is made at the center of a sphere. The area of this cross-section is 225_π_ square units. How many cubic units is the total volume of the sphere?

7

A water tank takes the shape of a sphere whose exterior has radius 16 feet; the tank is six inches thick throughout. To the nearest hundred, how many cubic feet of water does the tank hold?

8

The surface area of a sphere is 676_π_ in2. How many cubic inches is the volume of the same sphere?

9

What is the difference between the volume and surface area of a sphere with a radius of 6?

10

A sphere is perfectly contained within a cube that has a volume of 216 units. What is the volume of the sphere?

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