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?Show how to approximate the required work by a Riemann sum. Then express the work as an
Chapter 5, Problem 20(choose chapter or problem)
Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.
A circular swimming pool has a diameter of \(24ft\), the sides are \(5ft\) high, and the depth of the water is \(4ft\). How much work is required to pump all of the water out over the side? (Use the fact that water weighs \(62.5 \mathrm{lb} / \mathrm{ft}^{3}\).)
Equation Transcription:
Text Transcription:
24ft
5ft
4ft
62.5lb/ft^3
Questions & Answers
QUESTION:
Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.
A circular swimming pool has a diameter of \(24ft\), the sides are \(5ft\) high, and the depth of the water is \(4ft\). How much work is required to pump all of the water out over the side? (Use the fact that water weighs \(62.5 \mathrm{lb} / \mathrm{ft}^{3}\).)
Equation Transcription:
Text Transcription:
24ft
5ft
4ft
62.5lb/ft^3
ANSWER:
Step 1 of 4
Circular pool has diameter , so radius (appears to be a cylinder)
The sides are high, water depth is