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Show how to approximate the required work done by a Riemann sum. Then express the work as an integral an evaluate it.

A spherical water tank, 24 ft in diameter, sits atop a 60 ft tower. The tank is filled by a hose attached to the bottom of the sphere. If a 1.5 horsepower pump is used to deliver water up to the tank, how long will it take to fill the tank? (One horsepowerof work per second.)

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Collen Von
Collen VonLv2
25 May 2020

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