Question

The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is

(a) $\frac{4}{3}\mathrm{\pi }$

(b) $\frac{10}{3}\mathrm{\pi }$

(c) 5$\mathrm{\pi }$

(d) $\frac{20}{3}\mathrm{\pi }$

Answer 1

The radius of greatest sphere cut off from cylindrical log of wood should be radius of cylindrical log.

i.e., r = 1 cm

The volume of sphere

Hence, the correct answer is choice (a).