Question

a cylinder a cone and a hemisphere have same base and same height find the ratio of their volumes

Answer 1

Let the radius be r unit . Since all these shapes have same base and same radius .
So , height of the cone and cylinder = also r unit.
Now
Volume of cylinder = 22/7r×r×r
= 22/7r3
Similarly ,
Volume of cone = 1/3× 22/7× r3
Volume of hemisphere = 2/3×22/7×r3
Hence required ratio = 1:1/3:2:3= 3:1:2