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

Find : the ratio of their volumes.

Answer:

**Solution:**

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 r_{1} and r_{2}.

Given ratio of their radii = 3:7

Volume of sphere = (4/3)π r^{3}

Ratio of the volumes = (4/3)π r_{1}^{3}/(4/3)π r_{2}^{3}

= r_{1}^{3}/ r_{2}^{3}

= 3^{3}/7^{3}

= 27/343

**Hence the ratio of their volumes is 27:343.**

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