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A Cone, a Hemisphere and a Cylinder Stand on Equal Bases and Have the Same Height. What is the Ratio of Their Volumes? - Mathematics

Answer in Brief

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the ratio of their volumes?

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Solution

Let r be the radius of the base.

And h is the height.

Here, h = r.

Now,

The ratio of their volumes will be

Volume of cone: volume of hemisphere: volume of a cylinder

`1/3pir^2 h : 2/3pir^3 : pir^2 h `

`V_1 :V_2 :V_3 = 1/3pir^3 : 2/3 pir^3 : pir^3`

Hence , `V_1 : V_2 :V_3 = 1:2:3`

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 4 | Page 86
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