Question

10. The volume of a sphere is 2/3 the volume of a geometric figure where
• the diameter of the sphere is equal to the height of the geometric figure and
• the radius of the sphere is equal to the radius of the base of the geometric figure.
Which of the following geometric figure satisfies the given condition?
A. cone
B. pyramid
C. prism
D. cylinder
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Answer 1

Step-by-step explanation:

Given condition is that

Vol. of Sphere is 2/3 the Vol. of Geometric figure

Also,

• Diameter of the sphere = height of the geometric figure
• Radius of the sphere = radius of the base of the geometric figure

SOLUTION

• Only cone & cylinder satisfy above two conditions.

• We know that, The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter.

Hence , the Geometric Figure is Cylinder.