A right circular cone is circumscribed about a sphere of radius a .If h is the distance from the centre of the sphere to the vertex of the cone. Show that the volume of the cone is 1/3pi a^2(a+h)^2/(h-a). Find the angle of a cone when the volume is minimum

Answer 1

Find the point on the line
x/a+ y/b=1
that is closest to the origin.
Be sure to enter it as an ordered pair.