An agricultural sprinkler distributes water in a circular pattern of radius 50 m. It supplies water to a depth of e" meters per hour at a distance of r meters from the sprinkler. (a) If0R<50, what is the total amount of water supplied per hour to the region inside the circle of radius R centered at the sprinkler? (b) Determine an expression for the average amount of water per hour per square meter supplied to the region inside the circle of radius R.

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