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

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=

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

Show that the height of the cylinder of maximum volume that can be inscribed in a cone of height h is (1)/(3)h

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

Show that the cone of the greatest volume which can be inscribed in a given sphere has an altitude equal to 2/3 of the diameter of the sphere.