Mensurationmedium · Past Paper
A sphere, a cylinder and a cone have the same radius and same height. Find the ratio of their volumes.
A4:3:1
B2:3:1
C3:2:1
D4:2:1
✓ Correct Answer: B — 2:3:1
For same radius r and height h=2r (for sphere): V_sphere=4/3πr³, V_cyl=πr²(2r)=2πr³, V_cone=1/3πr²(2r)=2/3πr³. Ratio 4/3 : 2 : 2/3 = 2 : 3 : 1.
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