Question

A sphere ,a cylinder and a cone have the same diameter.The height of the cylinder and also the cone are equal to the diameter of the sphere .Find the ratio of their volumes

Answer 1

Let the diameter of sphere, cylinder and cone be 2r 

Then their radius will be r

and height of cylinder and cone will be 2r 

Hence required ratio = Volume of sphere : Volume of cylinder : Volume of cone

= 4πr3 : 6πr3 : 2πr3 

= 2 : 3 : 1

Answer 2

Answer:

Step-by-step explanation:

Let the diameter of sphere, cylinder and cone be 2r 

Then their radius will be r

and height of cylinder and cone will be 2r 

Hence required ratio = Volume of sphere : Volume of cylinder : Volume of cone

= 4πr3 : 6πr3 : 2πr3 

= 2 : 3 : 1