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A Cylinder and a Cone Have Equal Radii of Their Bases and Equal Heights. Show that Their Volumes Are in the Ratio 3:1. - CBSE Class 9 - Mathematics

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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. 

 

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. 

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 20: Surface Areas and Volume of A Right Circular Cone
Ex.20.20 | Q: 7 | Page no. 21
Solution 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.
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