The largest sphere is carved out of a solid cube of side 21 cm. Find the volume of the sphere.

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Accepted Answer

Step 1: Diameter of sphere $=$ side of cube $= 21$ cm
$	herefore$ radius $r = \frac{21}{2}$ cm
Step 2: Volume of sphere $= \frac{4}{3} \pi r^3 = \frac{4}{3} 	imes \frac{22}{7} 	imes \frac{21}{2} 	imes \frac{21}{2} 	imes \frac{21}{2}$
$= 4851$ cm$^3$

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