"How do you compute the volume of a cat? Dunking it in water doesn't work: you get the volume of the "rat like" creature that lives inside the cat. And, if your answer had anything to do with contour integrals... come on, get real! Here is a method that works: use successive approximation and determine the smallest box that the cat will fully enclose itself in.

This cat is close to 648 cubic inches in volume."

This cat is close to 648 cubic inches in volume."