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

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

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

Show that semi-vertical angle of right circular cone of given 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 sphere of radius R is (2R)/(sqrt(3)) Also find the maximum volume.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is 2(R)/(sqrt(3)) .Also find maximum 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 cone of maximum volume that can be inscribed in a sphere of radius 12cm is 16cm.

The semi-vertical angle of the cone of maximum curved surface area that can be inscribed in a given sphere of radius R is: (A) tan^(-1)((1)/(2))(B)tan^(-1)((1)/(sqrt(2)))(C)tan^(-1)((1)/(2)sqrt(2))(D)tan^(-1)((1)/(4))