Prove that volume of largest cone, which can be inscribed in a sphere, is `(8/27)^(th)` part of volume of sphere.

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.

Find the height of a right circular cylinder of maximum volume, which can be inscribed in a sphere of radius 8 cm .

Find the height of a right circular cylinder of maximum volume, which can be inscribed in a sphere of radius 9 cm.

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 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 .

If radius of a sphere is 2d/3 then its volume 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) pi h^3