Consider a circular lawn with a radius of 10 feet, as shown in the figure. Assume that a sprinkler distributes water in a radial fashion according to the formula

(measured in cubic feet of water per hour per square foot of lawn), where r is the distance in feet from the sprinkler. Find the amount of water that is distributed in 1 hour in the following two annular regions.

Is the distribution of water uniform? Determine the amount of water the entire lawn receives in 1 hour.

Transcribed Image Text:

f(r) 16 p² 160