Show that the height of a closed right circular cylinder of given surface and maximum volume, is equal to the diameter of its base.

Show that the radius of closed right circular cylinder of given surface area maximum volume is equal to half of its height.

Show that the right circular cylinder, open at the top, and of given surface area and maximum volume is such that its height is equal to the radius of the base.

Show that the right circular cylinder, open at the top, and of given surface area and maximum volume is such that its height is equal to the radius of the base.

Show that right circular cone of least curved surface and given volume has an altitude equal to sqrt2 times the radius of the base.

Show that the right-circular cone of least curved surface and given volume has an altitude equal to sqrt(2) times the radius of the base.

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

Show that semi-vertical angle of right circular cone of given total surface area and maximum volume is sin^(-1)""(1)/(3) .

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

The height and radius of the right circular cylinder below are given in meters. What is the volume, in cubic meters, of the cylinder?

A sphere and a right circular cylinder of the same radius have equal volume. By what percentage does the diameter of the cylinder exceed its height ?