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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

ConceptSurface Area of a Right Circular Cone

#### 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 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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