Question

Verify that the volume of a cylinder of radius r and height h is given be the formula v= pi*r^2*h using cylindrical shell method.

Answer 1

surface area of shell at radius r = 2 pi r h
integral from r = 0 to r + R of that dr
= 2 pi h int dr (rdr
= 2 pi h (R^2/2 -0)
= pi h R^2