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A vertical right-circular cylindrical tank measures 32 ft high and 10 ft in diameter. It is full of liquid weighing 50.6 lb/ft³. How much work does it take to pump the liquid to the level of the top of the tank? Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to the top of the tank. W = (Type exact answers, using as needed.)

A vertical right-circular cylindrical tank measures 32 ft high and 10 ft in diameter. It is full of liquid weighing 50.6 lb/ft³. How much work does it take to pump the liquid to the level of the top of the tank? Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to the top of the tank. W = (Type exact answers, using as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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A vertical right-circular cylindrical tank measures 32 ft high and 10 ft in diameter. It is full of liquid weighing 50.6 lb/ft³. How much work does it take to pump the liquid to the level of the top of the tank? Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to the top of the tank. W = dy (Type exact answers, using à as needed.)
Transcribed Image Text:A vertical right-circular cylindrical tank measures 32 ft high and 10 ft in diameter. It is full of liquid weighing 50.6 lb/ft³. How much work does it take to pump the liquid to the level of the top of the tank? Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to the top of the tank. W = dy (Type exact answers, using à as needed.)
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