Question

The largest sphere is carved out of a cube of edge 14 cm Find the volume of the sphere

• A. $1370c{m}^3$
• B. $1800c{m}^3$
• C. $1437c{m}^3$
• D. $1734c{m}^3$

Answer 1

Answer: (C)

$1437c{m}^3$

Radius of the largest sphere=$\frac{14}{2}=17cm$
$\therefore$ Volume=$\frac{4}{3}\pi r^3=\frac{4}{3}\times \frac{22}{7}\times 7\times 7\times 7\sim 1437c{m}^3$