alleryA sphere of radius r is inscribed in a cube. The ratio of the volume of the sphere to the volume of the cube is
Api : 6
Bpi : 3
C4 : 3
Dpi : 2
Answer & Solution
Correct answer: A. pi : 6
1. Side of cube = 2 r; cube volume = 8 r cubed.
2. Sphere volume = (4/3) pi r cubed.
3. Ratio = (4/3) pi r cubed / 8 r cubed = pi/6.
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.2_
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