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Draining a tank Water is drained from a 3000-gal lank at a

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 68E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 68E

Draining a tank Water is drained from a 3000-gal lank at a rate that starts at 100 gal/hr and decreases continuously by 5%/hr. If the drain is left open indefinitely, how much water is drained from the tank? Can a full tank be emptied at this rate?

Step-by-Step Solution:
Step 1 of 3

Solution:-

Step1

Given that

Water is drained from a 3000-gal lank at a rate that starts at 100 gal/hr and decreases continuously by 5%/hr. If the drain is left open indefinitely.

Step2

To find

how much water is drained from the tank? Can a full tank be emptied at this rate?

Step3

Volume of tank = 3000 gal

Let that the initial rate of draining is 100 gal per hour and then it decreases continuously by 5%/hr

R(t)=100

       =

Integrate both side we get,

dt

              =dt

              =100

              =gal

So, Volume of tank = 3000 gal and 2000gal  water is drained from the tank.

Therefore,A full tank  can not be emptied at this rate.

Step 2 of 3

Chapter 7.7, Problem 68E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Draining a tank Water is drained from a 3000-gal lank at a