Question

If a sphere fits exactly into a cylinder,the ratio of the volume of the sphere to the volume of the cylinder? True or false

Answer 1

Answer:A sphere is inscribed in a cylinder

here height of cylinder h=2r

Volume of sphere  =  

3

4

​

πr  

3

 

and Volume of cylinder =πr  

2

h

=πr  

2

(2r)

=2πr  

3

 

​

 

Ratio of volume of sphere to volume of cylinder =  

3×2πr  

3

 

4πr  

3

 

​

=2:3

Step-by-step explanation: