Show that the volume of the greatest cylinder, which can be inscribed in a cone of 4 height 'h' and semi-vertical angle 30° is `4/81 pi h^3`.

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) pi h^3

Show that the volume of the greatest cylinder, which can be inscribed in a cone of 4 height 'h' and semi-vertical angle theta is 4/27 pi h^3 tan^2 theta .

Show that the height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi-vertical angle alpha is one-third that of the cone anD greatest volume of cylinder is 4/27pi h^3tan^2 alpha

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 alpha 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 circular cylinder of maximum volume that can be inscribed in a given right-circular cone of height h is 1/3 h

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3 .

Show that the radius of right circular cylinder of maximum volume, that can be inscribed in a sphere of radius 30 cm, is 10sqrt6 cm.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius 30 cm is 60/sqrt3 cm. Also find the maximum volume of the cylinder.

Prove that the radius of the right-circlar cylinder of greatest curved surface, which can be inscribed in a given cone, is half of that of the cone.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius 10 cm is 20/sqrt3 cm. Also find the maximum volume of the cylinder.