The soot produced by a garbage incinerator spreads out in a circular pattern. The depth, $H (r)$, in millimeters, of the soot deposited each month at a distance $r$ kilometers from the incinerator is given by $H (r) = 0.112 e^{-2.1 r}$.

(a) Write a definite integral (with independent variable $r$) giving the total volume of soot deposited within 5 kilometers of the incinerator each month.
volume = $\int_0^5$
(include units)

(b) Evaluate the integral you found in part (a) to find the volume of soot.
volume =
(include units)