The base of a cylinder lies in the X - Y plane, and is centred at (1,−3,0). The point (−2,−2,0) lies on the edge of the base, and the cylinder has volume 40π units3.
a. Find the height of the cylinder.
b. The point (3,k,2) lies on the curved surface of the cylinder. Find the possible values of k.
c. Find the surface area of the cylinder.