The region bounded by y=3/x, y=0, x=3, and x=5 is rotated about the x-axis. Find the volume of the resulting solid.

Answer 1

V = π ∫(9/x^2) dx from x=3 to 5
= π( -9/x) | 3 to 5
= π(-9/5 - (-9/3) )
= π(6/5)
= 1.2π cubic units