Mathematics

Mathematics

Problem

The volume of the greatest cylinder which can be inscribed in a cone of height 30 cm and semi-vertical angle 30∘30^\circ is (a) 4000π3 cm34000 \frac{\pi}{3}\,\text{cm}^3 (b) 400π3 cm3400 \frac{\pi}{3}\,\text{cm}^3 (c) 4000π3 cm34000 \frac{\pi}{\sqrt{3}}\,\text{cm}^3 (d) None of these (a) 4000π3 cm34000 \frac{\pi}{3}\,\text{cm}^3 (b) 400π3 cm3400 \frac{\pi}{3}\,\text{cm}^3 (c) 4000π3 cm34000 \frac{\pi}{\sqrt{3}}\,\text{cm}^3 (d) None of these

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