Mensurationhard · Past Paper
A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.
A1:2
B2:1
C1:1
D√2:1
✓ Correct Answer: B — 2:1
Vol cone = 1/3πr²h. Vol hemi = 2/3πr³. 1/3πr²h = 2/3πr³ => h = 2r. The 'height' of a hemisphere is its radius r. Ratio h:r = 2:1.
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