2020 · Q77
The volumes of two cones are in the ratio 1:4 and their diameters are in the ratio 4:5. What is the ratio of their heights?
Elementary MathematicsMensuration
- A25:64
- B16:25
- C9:16
- D5:9
Explanation
V1/V2 = (d1/d2)^2*(h1/h2): 1/4 = (16/25)*(h1/h2), so h1/h2 = 25/64. Hence option (A). Indeed (16/25)*(25/64) = 1/4, recovering the given volume ratio.