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0 votes
1.3k views
in Surface Areas And Volumes by (15 points)
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If the ratio of radii of two spheres is 4 : 7, find the ratio of their volumes.

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2 Answers

+2 votes
by (44.5k points)

Let the radii of two spheres are 4r and 7r

Ratio of their volumes

\(\frac{\frac{4}{3} \pi (4r)^3}{\frac{4}{3} \pi (7r)^3}\)

\(\frac{64}{343}\)

+2 votes
by (25 points)

volume of sphere = 4/3  π · r3

Let radius 1 = 4 r  and radius 2 = 7 r

So, volumn1 : volumn2 = 4/3  π · (4r)3  :  4/3  π · (7r)3

                                   = 64 : 343

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