13.6 Triple Integrals and Applications

Use a triple integral to find volume of a solid region

Find the center of mass and moments of inertia of a solid region

Skip, if no time

Just set up integral. DO NOT SOLVE!

Find the moment of inertia about the z-axis from the previous problem.

Other uses of triple integrals that your book does not go into…

• Density in terms of electrostatics (charge densities

• Potential energy due to the gravitational attraction between two point masses

PG. 986 #1-5 ODD, 13, 17, 21, 23, 31Homework