What is the area of the largest sphere that can be placed inside a cube of volume 216cm³?

Explanation

B) 36$\pi$. The cube's side is $\sqrt[3]{216}$ = 6 cm. The largest sphere inside touches all six faces, so its diameter equals the side and r = 3 cm. Its surface area is 4$\pi$ $r^2$ = 4$\pi$ $\times$ 9 = 36$\pi$ cm². Its volume, $\frac{4}{3}$$\pi$ $r^3$, also happens to be 36$\pi$, so either reading gives B.