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Question

The ratio of the radii of two cylinders is 2 : 3 and the ratio of their heights is 5:3.The ratio of their volumes will be

(a) 4:9

(b) 9 :4 

(c) 20:27 

(d) 27:20


Solution

Ratio in radii of two cylinder= 2 : 3

and the ratio of their heights = 5:3

Let radii of two cylinder=2x and 3x 

and corresponding heights=5y,3y

Volume of first cylinderVolume of second cylinder=πr21h1πr22h1=(2x)2×5y(3x)2×3y=4x2×5y9x2×3y=20x2y27x2y=2027 Ratio=20:27

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