Question

A sphere, a cylinder and a cone have the same radius and same height find the ratio of their volumes [Hint: diameter of the sphere is equal to the height of the cylinder and the cone] ​

Answer 1

$\bf\large\underline\green{Step by Step Explanation :-}$

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

________❤

$\bf\huge\underline\red{Follow me}$

Answer 2

$\huge\bold\purple{Answer:-}$

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