Question

a sphere of maximum possible volume is carved from a wooden cube of length 21 cm find the volume of the sphere

Answer 1

Diameter of sphere = Side of cube
= 21cm
Radius of sphere = 21/2 cm

Volume of sphere = 4 pi r^3 /3
= 4 * 22 * 21 *21*21/ 21
= 88 * 21 *21
= 38808 cm^3

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