#### 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 heightGiven, 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