The ratio between volumes of a hemisphere and a cone is 1 1 If the cone rsquo s height is equal to i...........

Quantitative Aptitude ( CCS) Mensuration 3D

The ratio between volumes of a hemisphere and a cone is 1:1. If the cone’s height is equal to its diameter, then find the ratio of diameter of hemisphere and cone ?

2:1

1:1

3:2

2:3

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Explanation:

let the radius of hemisphere and cone are r1 and r2
H’s volume/c’s volume = 1/1
So [2/3 πr1³]/[1/3 πr2²*2r2] = 1/1
So r1 : r2 = 1 : 1 or D1 : D2 = 1: 1