Question :

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is 1 : 2 : 3. Is the given statement true or false and justify your answer.
Submitted on 7/2/2024 | Answered by Vandana Rana

Answer :

Given, a cone, a hemisphere and a cylinder stand on equal bases and have the same height


Given, radius of cone = radius of hemisphere = radius of cylinder = r


Height of cone = height of hemisphere = height of cylinder = h


Volume of cone = 1/3 πr²h


Volume of hemisphere = 2/3 πr³


Volume of cylinder = πr²h


Ratio of volume = 1/3 πr²h : 2/3 πr³ : πr²h


= 1/3 : 2/3 : 1


= 1 : 2 : 3