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RD Sharma Solutions Class 9 Mathematics Solutions for Surface Area And Volume Of Sphere Exercise 21.2 in Chapter 21 - Surface Area And Volume Of Sphere

Question 4 Surface Area And Volume Of Sphere Exercise 21.2

A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.

Answer:

Volume of the cone = Volume of the hemisphere (Given) R D Sharma Solutions - Mathematics - Class 9 chapter Surface Area And Volume Of Sphere Question 4 Solution image

Since, cone and a hemisphere have equal bases which implies they have the same radius.

h/r = 2

or h : r = 2 : 1

Therefore, Ratio of their heights is 2:1

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