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

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

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

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

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 cylinder of maximum volume that can be inscribed in a cone of height h is 1/3h

Show that the height of a cone of maximum volume inscribed in a sphare has the ration with the radius of sphere as 4 : 3 .

The total surface area of a cone whose radius is (r)/(2) and slant height 2l is

The semi-vertical angle of a cone remains constant. If its height increases by 2%, then find the approximate increase in its volume.

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