The semivertical angle of the cone of maximum volume and of given slant height is

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

Prove that the semi-vertical angle of a cone of maximum volume and of given slant height is tan^(-1)(sqrt2) .

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 cone of the maximum volume and of given slant height is tan^-1sqrt2 .

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 cone of the maximum volume and of 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) .

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 cone of the maximum volume and of given slant height is cos^(-1)(1)/(sqrt(3))