A cylinder of length 2x is inscribed in a sphere of radius a. Between one end of this cylinder and the sphere, another cylinder of length 2y is inscribed with one end on an end of the first cylinder so that the axes of the cylinder are collinear.
Show that the sum of the volume of the two cylinder is
2pi(x+y)(a^2 - x^2 -4y^2)
how can i solve this?