# Solid Geometry: Spheres

This is an MCQ-based quiz for GRE on the topic of the Spheres.

A geometrical object that is a three-dimensional analogue to a two-dimensional circle.

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A cube weighs 216 grams. If you carve a sphere out of the cube such that the diameter of the sphere is equal to one of the sides of the square, how many grams is the weight of the resulting sphere?

144π 216π 288π 36π

How much does the volume of a sphere increase if its radius is increased by 50%?

50% 150% 337.5% 237.5% 0.3375%

Find the surface area of a sphere with a diameter of 14. Use π = 22/7.

872 616 1256 2464 428

What is the volume of a sphere with a radius of 3?

112π 96π 36π 48π 24π

If a sphere has a volume of 36π cubic inches, what is its surface area?

32π in^2

96π in^2

36π in^2

108π in^2

24π in^2

A sphere has a surface area of 16π square inches.  If the radius is doubled, what is the surface area of the larger sphere?

64π in^2

48π in^2

Cannot be determined

32π in^2

16π in^2

The surface area of a sphere is 36π. What is its diameter?

3

9

6

4

The volume of one sphere is 432πx^3. What is the diameter of a sphere of half that volume?

3x∛12

3x∛6

6x∛12

6x∛6

A cube with a surface area of 216 square units has a side length that is equal to the diameter of a certain sphere. What is the surface area of the sphere?

24π

36π

72π

108π

How many times greater is the volume of a sphere with radius of 3 than the volume of a sphere with radius of  √3?

3

3√3

9√3

9

√3

Quiz/Test Summary
Title: Solid Geometry: Spheres
Questions: 10
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