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The Mean Value TheoremWater in a reservoir As a result of
Chapter 4, Problem 19PE(choose chapter or problem)
Problem 19PE
The Mean Value Theorem
Water in a reservoir As a result of a heavy rain, the volume of water in a reservoir increased by 1400 acre-ft in 24 hours. Show that at some instant during that period the reservoir’s volume was increasing at a rate in excess of 225,000 gal/min. (An acre-foot 43,560 ft3is the volume that would cover 1 acre to the depth of 1 ft. A cubic foot holds 7.48 gal.)
Questions & Answers
QUESTION:
Problem 19PE
The Mean Value Theorem
Water in a reservoir As a result of a heavy rain, the volume of water in a reservoir increased by 1400 acre-ft in 24 hours. Show that at some instant during that period the reservoir’s volume was increasing at a rate in excess of 225,000 gal/min. (An acre-foot 43,560 ft3is the volume that would cover 1 acre to the depth of 1 ft. A cubic foot holds 7.48 gal.)
ANSWER:
Solution
Step 1 of 2
In this problem we have to show that at some instant during that period the reservoir’s volume was increasing at a rate in excess of 225,000 gal/min.
Given that the volume of water in a reservoir increased by hours.