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

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

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 right circular cone of given surface area and maximum volume is "cosec"^(-1) (3) .

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

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

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

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

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