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Mathematics

Find the volume of a sphere whose radius is 7 cm.

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Answer

Given,

Radius of the sphere (r) = 7 cm

By formula,

Volume of the sphere (V) = 43πr3\dfrac{4}{3}πr^3

Substituting values we get :

V=43×227×73=43×227×343=8821×343=883×49=43123=143713 cm3.V = \dfrac{4}{3} \times \dfrac{22}{7} \times 7^3 \\[1em] = \dfrac{4}{3} \times \dfrac{22}{7} \times 343 \\[1em] = \dfrac{88}{21} \times 343 \\[1em] = \dfrac{88}{3} \times 49 \\[1em] = \dfrac{4312}{3} \\[1em] = 1437 \dfrac{1}{3} \text{ cm}^3.

Hence, the volume of sphere = 1437131437 \dfrac{1}{3} cm3.

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