The kth layer is a cylinder of radius 11 and height
the force required to move it is
The work needed to pump the kth layer of the edge of the pool would be
1. The problem statement, all variables and given/known data
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.)
(b)Express the work as an integral and evaluate it.
3. The attempt at a solution
I've found everything in the riemann sum equation minus the "E". What would this be?
One I find that, I should be able to setup the integral and solve it.