Posted by **Beth** on Tuesday, December 6, 2011 at 6:29pm.

A cylindrical water tank has a radius of 2 feet and a height of 6.0 feet. Compute the work done to pump the water out of a filled tank through the top. [The density of water is 62.4 lbs/ft3.]

- Calculus -
**MathMate**, Tuesday, December 6, 2011 at 9:25pm
Height of tank=

H=6'

Total volume of water

V=πr²H

Total mass

m=ρV

Average height raised

h=H/2 (from centre of gravity to top)

Total work done

=mgh

g=acceleration due to gravity

=32.2 ft.s-2

Note:

If the water is supposed to load a truck below the tank, a pump is necessary to start filling the hose to the top and down, after that, water will flow up the tank, and down to the truck by gravity.

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