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

Find : the ratio of their volumes.

Question

If the ratio of the radii of two sphere is 3 7 Find the ratio of their volumes

Accepted Answer

Solution The capacity of a sphere is its volume It is the area that the sphere occupies The sphere has a round threedimensional shape Its shape is determined by three axes the x y and z axes Let the radii of two spheres be rsub1sub and rsub2sub Given ratio of their radii 37 Volume of sphere 43 rsup3sup Ratio of the volumes 43 rsub1subsup3sup43 rsub2subsup3sup rsub1subsup3sup rsub2subsup3sup 3sup3sup7sup3sup 27343 Hence the ratio of their volumes is 27343

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