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

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

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

If S denotes the area of the curved surface of a right circular cone of height h and semivertical angle alpha then S equals

If s denotes the area of the curved surface of a right circular cone of height h and semivertical angle alpha then S equals

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

The radius of cylinder of maximum volumne which can be inscribed in a right circular cone of radius R and height H ( axis of cylinder and cone are same ) H given by

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

A right circular cylinder of maximum volume is inscribed in a given right circular cone of helight h and base radius r, then radius of cylinder is: