Question

A hollow cube has volume equal to 216 cm${}^3$. Find the surface area of the largest sphere which can be enclosed in it is

• A. 18 π
• B. 27 π
• C. 36 π
• D. 72 π

Answer 1

The correct option is C

36 π

Side of cube = 6 cm So, the radius of largest sphere enclosed in it is 3 cm. Hence, the surface area of sphere $=4\pi \times 3^2=36\pi$