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dbai
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Homework Statement
A spherical water tower 40 ft in diameter has its center 120 ft above the ground. That means, there is a 120 ft pole connected to the 40 ft diameter spherical tank. Water is being pumped at the ground level to fill the tank with water of density 62.4 lb/ft3,
a) How much work is done in filling the tank half full?
b) How much work is done in filling the tank ENTIRELY full?
Homework Equations
dW = (dV)*(density)*(displacement)
The Attempt at a Solution
- I calculated that dV would be a cylindrical section of the tank with height dy --> πx2 dy
- Density is given 62.4 lb/ft3
- I used (120 - y) as my displacement
∫(Pi)x2(120 - y) dy Limits: 0-120 ??
I don't know if the displacement is correct and how to convert x in terms of y.