Show that the semivertical angle of a cone of given slant height and maximum volume is `tan^(-1)sqrt(2)`.

Show that the semivertical angle of a cone of maximum volume and of given slant height is tan^(-1)sqrt2

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

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is tan^(-1) sqrt(2) .

Show that the height of a cylinder of given total surface area and open at the top has maximum volumes is equal to the radius of its base .

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

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

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

The height of a right circular cone is 40 cm and semi-vertical angle is 30^@ , the slant height of the cone is =?

The total surface area of a right circular cone is given. Show that the volume of that cone will be maximum if the semivertical angle is sin^(-1)1/3 .

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