Rainfall Suppose that during a storm rain is falling at a rate of 1 inch per hour. The wat...

Rainfall Suppose that during a storm rain is falling at a rate of 1 inch per hour. The water coming from a circular roof with a radius of 20 feet is running down a downspout that can accommodate 400 gallons of water per hour. See the figure.

(a) Determine the number of cubic inches of water falling on the roof in 1 hour.

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(b) One gallon equals about 231 cubic inches. Write a formula for a function g that computes the gallons of water landing on the roof in x hours.

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(c) How many gallons of water land on the roof during a 2.5-hour rain storm?

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(d) Will one downspout be sufficient to handle this type of rainfall? How many downspouts should there be?