?Show how to approximate the required work by a Riemann sum. Then express the work as an

Chapter 5, Problem 22

(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 spherical water tank, \(24 ft\) in diameter, sits atop a \(60 -ft\)-tall 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 horsepower \(=550 f t-l b\) of work per second.)

Equation Transcription:

Text Transcription:

24 ft

60-ft

1.5

550ft-lb

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