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## Homework Statement

A circular swimming pool has a diameter of 22 ft, the sides are 5 ft high, and the depth of the water is 4 ft. How much work is required to pump all of the water over the side? (Use the fact that water weighs 62.5 lb/ft^3.)

(a) Show how to approximate the required work by a Riemann sum. Give your answer using the form below. (If you need to enter -infinity or infinity, type -INFINITY or INFINITY.)

http://www.webassign.net/www21/symImages/5/b/9d364b30bb301d2a03a8ec803e5bf6.gif

(b)Express the work as an integral and evaluate it.

## The Attempt at a Solution

I've found everything in the riemann sum equation minus the "E". What would this be?

A=N

B=infinity

C=1

D=N

E=?

One I find that, I should be able to setup the integral and solve it.

Thanks!

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