Math 2260 HW #2
Due 10:10 AM Friday, January 18
Reading: Hass §6.1–6.2
Problems: Do the assignment “HW2” on WebWork. In addition, write up solutions to the
following problems and hand in your solutions in class on Friday.
1. Find the volume of the solid given by revolving the shaded region around the x-axis:
1
Π
0
2
Π
2
In the picture, the red curve is the curve y =
p
cos(x) and the blue line is the line y = 1.
2. Use integration to prove that the volume of a cone with height h and base radius r is 31 πr2 h.
(Hint: think about generalizing the example given in class on Monday. The first thing to do
is to realize the cone as a solid of revolution.)
1