Question

A cylinder and a cone have equal radii of their bases and equal heights. Show that their volumes are in the ratio 3:1. 

 

Answer 1

Given that,
A cylinder and a cone have equal radii of their equal bases and heights 

Let radius of cone=radius of cylinder=r 

Let height of cone=height of cylinder=h 

Let` V_1`=volume of cone 

`V_2`=volume of cylinder 

⇒` V_1/V_2=(1/3pir^2h)/(pir^2h)=1/3` 

⇒ `V_2/V_1=3/1` 

Hence their volumes are in the ratio 3 : 4.