Find the volume of sphere whose diameter is 14 cm.

1.	Find the volume of sphere whose diameter is 14 cm.
Answer» Let the radius of the sphere is r. Given that the diameter of the sphere is 14 cm. ∴ 2r = 14 cm. (∵ diameter is double of the radius) ⇒ r = \(\frac{14}{2}\) = 7 cm. Hence the radius of the sphere is 7 cm. We know the volume of the sphere whose radius is r is given by V = \(\frac{4}{3} \pi r^3\) Therefore the volume of given sphere is V = \(\frac{4}{3} \times \frac{22}{7} \times7^3\) (\(\because\)\(\pi\) = \(\frac{22}{7}\)) \(\frac{4}{3} \times \frac{22}{7} \times49\) = \(\frac{4312}{3}\) = \({1437.33} \,cm^3\). Hence, the volume of the sphere is 1437.33 cm³.

Answer»

Let the radius of the sphere is r.

Given that the diameter of the sphere is 14 cm.

∴ 2r = 14 cm. (∵ diameter is double of the radius)

⇒ r = \(\frac{14}{2}\) = 7 cm.

Hence the radius of the sphere is 7 cm.

We know the volume of the sphere whose radius is r is given by V = \(\frac{4}{3} \pi r^3\)

Therefore the volume of given sphere is V = \(\frac{4}{3} \times \frac{22}{7} \times7^3\) (\(\because\)\(\pi\) = \(\frac{22}{7}\))

\(\frac{4}{3} \times \frac{22}{7} \times49\) = \(\frac{4312}{3}\) = \({1437.33} \,cm^3\).

Hence, the volume of the sphere is 1437.33 cm³.

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