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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 68e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 68e

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

ISBN: 9780321570567 2

## Solution for problem 68E Chapter 7.7

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

Step 3 of 3

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