Question

Please answer the question in attached image​

Answer 1

Let the radius of base of hemisphere and cone, each be r unit. 

Let the height of the cone be h unit.

Volume of the cone=31πr2h

Volume of the hemisphere =32πr3

According to the question. 31πr2h=32πr3

⇒h=2r

⇒ Height of the cone =2r unit

Height of the hemisphere = Radius of the hemisphere =r

∴ Ratio of the heights of cone and hemisphere =2r:r=2:1