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## Homework Statement

A vertical right circular cylindrical tank measures 32 feet high and 8 feet in diameter. It is full of liquid weighing 62.4 lb / ft^3 How much work does it take to pump the liquid to the level of the top of the tank?

## Homework Equations

h=32

d=8 (radius = 4)

liquid weight = 62.4 lb / ft^3

## The Attempt at a Solution

1. integral (0 to 32) (62.4x) dx

2. (156/5)x^2 | (0 to 32)

3. answer: 31,948.8

actual correct answer: 1,605,922 ft-lb