Question

The largest sphere is carved out of a cube of side $7cm$. Find the volume of the sphere.

(Take $\pi =3.14$).

• A. $152.74{cm}^3$
• B. $243.41{cm}^3$
• C. $179.67{cm}^3$
• D. $195.01{cm}^3$

Answer 1

The correct option is C $179.67{cm}^3$

The diameter of sphere $=$ side of cube $=7cm$

Radius of sphere $=\frac{7}{2}$ $=3.5cm$

Volume of sphere $=\frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14\times 3.5\times 3.5\times 3.5$

$=179.67$ ${cm}^3$