Question

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)=0.115e^(-2r)
a) write a definite integral giving the total volume of soot deposited within 5km of the incinerator each month
b)evaluate the integral.