The volume of the greatest cylinder which can be inscribed in a cone of height 30 cm and semi-vertical angle `30^0` is (a)`4000pi/(sqrt(3))` (b) `400pi/3c m^3` `4000pi/(sqrt(3)c m^3` (d) none of these

Show that the volume of the greatest cylinder, which can be inscribed in a cone of height 'h' and semi - vertical angle 30^(@) is (4)/(81)pih^(3)

The volume of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle alpha is k pi h^(3)tan^(2)alpha , then 6k=

The height of the cylinder of the greatest volume that can be inscribed in a sphere of radius 3 is

Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius 5sqrt(3)cm is 500 pi cm^(3).

Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius 5sqrt(3)cm is 500 pi cm^(3).

The altitude of a cylinder of the greatest possible volume which can be inscribed in a sphere of radius 3 sqrt3 is

sin^-1 (cos(sin^-1(sqrt(3)/2))= (A) pi/3 (B) pi/6 (C) - pi/6 (D) none of these

Find the height of right circular cylinder of maximum volume that can be inscribed in a sphere of radius 10sqrt3cm .

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? is one-third that of the cone and the greatest volume of cylinder is (4)/(27)pi h^(3)tan^(2)alpha

sin^-1 (-1/2)+tan^-1 (sqrt(3))= (A) -pi/6 (B) pi/3 (C) pi/6 (D) none of these