An Agricultural Sprinkler Distributes Water in a Circular Pattern of Radius

An agricultural sprinkler distributes water in a circular pattern of radius $100$ ft. It supplies water to a depth of $$e ^ { - \gamma }$$ feet per hour at a distance of $r$ feet from the sprinkler. What is the total amount of water supplied per hour to the region inside the circle of radius $15$ feet centered at the sprinkler?

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