The volume of the greatest cylinder which can be inscribed in a cone of height h and semi- vertical angle `alpha` is

Show that the volume of the greatest cylinder, which can be inscribed in a cone of 4 height 'h' and semi-vertical angle theta is 4/27 pi h^3 tan^2 theta .

Show that the volume of the greatest cylinder, which can be inscribed in a cone of height 'h' and semi-vertical angle 30^@ is 4/(81) pi h^3

Show that the volume of the greatest cylinder, which can be inscribed in a cone of 4 height 'h' and semi-vertical angle 30° is 4/81 pi h^3 .

Show that the volume of the greatest cylinder, which can be inscribed in a cone of height 'h' and semi - vertical angle 30^(@) is (4)/(81)pih^(3)

The volume of the greatest cylinder which can be inscribed in a cone of height 30cm and semi-vertical angle 30^(0) is (a) 4000(pi)/(sqrt(3)) (b) 400(pi)/(3)cm^(3)4000(pi)/(sqrt(3)cm^(3))(d) none of these

The volume of the greatest cylinder which can be inscribed in a cone of height 30 cm and semi-vertical angle 30^0 is (a) 4000pi/(sqrt(3)) (b) 4000pi/3c m^3 (c) 4000pi/(sqrt(3)c m^3 (d) none of these

The volume of the greatest cylinder which can be inscribed in a cone of height 30 cm and semi-vertical angle 30^0 is (a) 4000pi/(sqrt(3)) (b) 4000pi/3c m^3 (c) 4000pi/(sqrt(3)c m^3 (d) none of these

The volume of the greatest cylinder which can be inscribed in a cone of height 30 cm and semi-vertical angle 30^0 is (a) 4000pi/((3)) (b) 400pi/3c m^3 (c) 4000pi/(sqrt(3))cm^3 (d) none of these

The volume of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle alpha is k pi h^(3)tan^(2)alpha , then 6k=

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