ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.3 in Chapter 17 - Mensuration

Question 12 Mensuration Exercise 17.3

If the ratio of the radii of two sphere is 3 : 7.

Find : the ratio of their volumes.



The capacity of a sphere is its volume. It is the area that the sphere occupies. The sphere has a round, three-dimensional shape. Its shape is determined by three axes: the x, y, and z axes.

Let the radii of two spheres be r1 and r2.

Given ratio of their radii = 3:7

Volume of sphere = (4/3)π r3

Ratio of the volumes = (4/3)π r13/(4/3)π r23

= r13/ r23

= 33/73

= 27/343

Hence the ratio of their volumes is 27:343. M L Aggarwal - Understanding ICSE Mathematics - Class 10 chapter Mensuration Question 12 Solution image

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