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 on the next page. 

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

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

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

Transcribed Image Text:

j Café 20 ft