A sprinkler distributes water in a circular pattern, supplying water to a depth of $e^{-r}$ feet per hour at a distance of $r$ feet from the sprinkler.

A. What is the total amount of water supplied per hour inside of a circle of radius 12?

${ft}^3 / h$

B. What is the total amount of water that goes throught the sprinkler per hour?

${ft}^3 / h$