1) Use a triple integral to determine the volume of an object of your choice. The object can be as big or small as you like, and you may do so using Cartesian, cylindrical, or spherical coordinates. The object may not be something that has a simple, known volume formula (i.e., a sphere, cone, cylinder, pyramid, and so on).

2)

1. Explain why the sum of integrals below in spherical coordinates give the volume of a cylinder. What are the dimensions of the cylinder described? -2TT ~TT / 4 ~3 sec o .TT/ 2 ~3 csc d p sin o dp do de + p sin o dp do do J7/4 JO