Question

if the ratio of radius of two spheres is 4:7 the ratio of their volume is

Answer 1

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Answer 2

Hey there!

Thanks for this question on volumes of spheres. We equate the volumes of both spheres and get ratio .

Given ratio of radii of two spheres is 4 : 7

We know that,
Volume of a sphere with radii r is
$\frac{4}{3} \pi {r}^{3}$

Ratio of Volume of the given spheres =
$\frac{4}{3} \pi( {4}^{3} ) \div \frac{4}{3} \pi( {7}^{3} ) \\ \\ = {4}^{3} \div ( {7}^{3} ) \\ \\ = \frac{64}{343}$

Therefore, Ratio of their volumes is 64 : 343 .