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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration
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The ratio of the base radii of two right circular cones of the same height is 3 : 4. Find the ratio of their volumes.
Answer:
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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