Question

The largest sphere is cut off from a cube of side 6 cm. The volume of the sphere will be

• A. $27\pi c{m}^3$
  
• B. $36\pi c{m}^3$
• C. $108\pi c{m}^3$
  
• D. $12\pi c{m}^3$
  

Answer 1

The correct option is B

$36\pi c{m}^3$

Side of cube = 6 cm
$\therefore$ Diameter of sphere cut off from it = 6 cm
and radius $\left(r\right)=\frac{6}{2}=3cm$
$\therefore Volume=\frac{4}{3}\pi r^3=\frac{4}{3}\pi \times (3{)}^{3}c{m}^3=\frac{4}{3}\times \pi \times 3\times 3\times 3=36\pi c{m}^3$