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) = 0.1 15e^-12.2 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.
(b) Evaluate the integral you found in part (a) to find the volume of soot.