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Consider the following container. It is a cut cone with a top radius of 7 ft...

Consider the following container. It is a cut cone with a top radius of 7 ft and a bottom radius of 3 ft. It has a height of 12 ft and water (density 62.5 lb/ft^3) is currently in the container to a depth of 5 ft. There is a spout on this container at the top.

Write down but DO NOT EVALUATE an integral to find the work necessary to pump all the water in this container up out of the spout.

Note: Your work for this problem MUST show the Riemann sum used to build your definite integral.

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