Mensurationhard · Past Paper
The ratio of the volumes of two cones is 1:4 and their diameters are in the ratio 4:5. Find the ratio of their heights.
A25:64
B16:25
C5:4
D25:16
✓ Correct Answer: A — 25:64
V1/V2 = (r1/r2)² * (h1/h2) => 1/4 = (4/5)² * (h1/h2) => 1/4 = 16/25 * (h1/h2) => h1/h2 = 25/64.
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