(Modeling) Rainfall Suppose that during a storm, rain is falling at a rate of 1 inch...

(Modeling) 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 spout that can accommodate 400 gallons of water per hour.

(a) Determine the number of cubic inches of water falling on the roof in one hour. (Hint Each hour, a layer of water 1 inch thick falls on the roof.)

(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.

(c) I-low many gallons of water land on the roof during a 2.5-hour rainstorm?

(d) Will one downspout be sufficient to handle this type of rainfall? If not, how many should there be?