# ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration

Question 17 Mensuration Exercise 17.2

The ratio of the base radii of two right circular cones of the same height is 3 : 4. Find the ratio of their volumes.

Solution:

Consider a cone with a height of "h" and a circular base with radius "r." This cone's volume will be equal to one-third of the base's area multiplied by its height.

**Let r1 and r2 be the radius of the given cones and h be their height.

Ratio of radii, r1:r2 = 3:4

Volume of cone, V1 = (1/3)π r12h

Volume of cone, V2 = (1/3)π r22h

V1 /V1 = (1/3)r12h/ (1/3)r22h

= r12/ r22

= 32/42

= 9/16

Hence the ratio of the volumes is 9:16.

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