If h be the height and `alpha` the semi vertical angle of a right -circular cone, the its volume is given by

Volume of a Right Circular Cone

show that the semi vertical angle of a right circular cone of given total surface area and max volume is sin ^(-1)((1)/(3))

Show that the semi - vertical angle of the right - circular cone of maximum volume and of given slant height is : (i) tan^(-1)sqrt2 (ii) cos^(-1)""(1)/(sqrt3).

Volume of frustum of right circular cone

Prove that the semi-vertical angle of the right circular cone of given volume and least curved surface is cot^(-1)(sqrt(2))

The ratio of height and the diameter of a right circular cone is 3:2 and its volume is 1078 cc, then (taking pi = (22)/(7) ) its height is :

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

If both the radius and height of a right circular cone are increased by 20%, Its volume will be increased by

If both the radius and height of a right circular cone are increased by 20%, its volume will be increased by

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? is one-third that of the cone and the greatest volume of cylinder is (4)/(27)pi h^(3)tan^(2)alpha