Question
In what ratio are the volumes of a cylinder , a cone and a sphere , if each has the same diameter and the same height ?
Answer: Option C
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Let radius = R and height = H. Then ,
Ratio of their volumes = `pi R^2 H : 1/3 pi R^2 H : 4/3 pi R^3`
= ` H : 1/3 H : 4/3 R`
= ` H : 1/3 H : 4/3 xx H/2 ` ` [ In sphere , H = 2R or R = H/2]`
= 3 : 1 : 2.
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