The volume of the greatest cylinder that can be inscribed in a cone of height and…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The volume of the greatest cylinder that can be inscribed in a cone of height

30\,\text{cm}

and semi-vertical angle

30^\circ

is (a)

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

(b)

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

(c)

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

(d) None of these