A sprinkler distributes water in circular pattern, supplying

[think.ms.tink]

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 16?

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

 

[galactus]

The area of a circle is \(\displaystyle A={\pi}r^{2}\)

But, this is actually a cylinder with radius r and height \(\displaystyle e^{-r}\)

\(\displaystyle V={\pi}r^{2}\cdot e^{-r}\)