Mensurationmedium · Past Paper
A hemisphere and a cone have equal bases. If their heights are also equal (height of hemisphere being its radius), find the ratio of their volumes.
A2:1
B1:2
C3:2
D1:1
✓ Correct Answer: A — 2:1
V_hemisphere = (2/3)πr³, V_cone = (1/3)πr²h. Since h=r, V_cone = (1/3)πr³. Ratio is 2:1.
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