Show that height of the cylinder of greatest volume which can be inscribed in a
right circular cone of height h and semi vertical angle α is one-third that of the
cone and the greatest volume of cylinder is 
3
2
4
27 htan
π
α Rationalised 2023-24
APPLICATION OF DERIVATIVES
185
16 A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314
cubic metre per hour Then the depth of the wheat is increasing at the rate of
(A) 1 m/h
(B) 0