An agricultural sprinkler distributes water in a circular pattern of radius $100 \mathrm { ft }$. It supplies water to a depth of $e ^ { - r }$ 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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The Answer of An agricultural sprinkler distributes water in a circular pattern of radius $100 \mathrm { ft }$. It supplies water to a depth of $e ^ { - r }$ 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?

An Agricultural Sprinkler Distributes Water in a Circular Pattern of Radius