Mathematics

Problem

The volume of the greatest cylinder which can be inscribed in a cone of height 30 cm and semi-vertical angle

30^\circ

is (a)

4000 \frac{\pi}{3} \,\text{cm}^3

(b)

400 \frac{\pi}{3} \,\text{cm}^3

(c)

4000 \frac{\pi}{\sqrt{3}} \,\text{cm}^3

(d) None of these