#### 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.

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#### Solution

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.

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Solution for 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. concept: Surface Area of a Right Circular Cone. For the course CBSE