The soot produced by a garbage incinerator spreads outin a circular pattern. The depth

Chapter 8, Problem 17

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The soot produced by a garbage incinerator spreads outin a circular pattern. The depth, H(r), in millimeters, ofthe soot deposited each month at a distance r kilometersfrom the incinerator is given by H(r)=0.115e2r.(a) Write a definite integral giving the total volume ofsoot deposited within 5 kilometers of the incineratoreach month.(b) Evaluate the integral you found in part (a), givingyour answer in cubic meters.

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