The radius of the base ofa right circular cone is 'x'. It is cut by a plane parallel to the base at a height y from the base. The distance boundary of upper surface from the base of frustum is `sqrt(y^(2)+(x^(2))/(9))`. Show that the volume of frustum is `(13)/(27)pix^(2)ycu`. units.

Answer

`913x^(2)ypi)/(27)` cu. Units.