Calculus IV Problem Set 3 Fall 1999 Due 10/15/99

 


1. Set up a triple integral and work it out to find the volume of the solid bounded by the paraboloids z = x2 + y2 and z = 9 - (x+1)2 - y2.
 
 
 

2. (a) Set up a triple integral and work it out to find the volume of a right circular cylinder of radius r and height h.
 

(b) Set up a triple integral and work it out to find the volume of a sphere of radius r.