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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.
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?
How much does the volume of a sphere increase if its radius is increased by 50%?
Find the surface area of a sphere with a diameter of 14. Use π = 22/7.
What is the volume of a sphere with a radius of 3?
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
