Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius r is `(2r)/(sqrt(3))`.

The height of the cylinder of maximum volume that can be inscribed in a sphere of radius a, is-

Show that the height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is 16 cm .

Find the dimensions of the rectangle of maximum area that can be inscribed in a semicircle of radius r.

Find the dimensions of the rectangle of maximum perimeter that can be inscribed in a circle of radius a.

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

Find the volume of the largest cylinder inscribed in the sphere of radius r cm.

find the volume of the largest cylinder inscribed in the sphere of radius r cm.

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)pih^3tan^2alphadot