Mathematics

A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.
(Answer correct to the nearest integer)

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Radius of largest sphere from a right circular cylinder will be equal to radius of circular cylinder = 7 cm.

Volume of sphere = $\dfrac{4}{3}πr^3$

$= \dfrac{4}{3} \times \dfrac{22}{7} \times 7^3 \\[1em] = \dfrac{4}{3} \times 22 \times 7^2 \\[1em] = 1437 \text{ m}^3.$

Hence, volume of sphere = 1437 m³.

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