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.

## Answer This Question

## Related Questions

- CALCULUS - Water is draining from a small cylindrical tank into a larger one ...
- Calculus - Water is draining from a small cylindrical tank into a larger one ...
- Calculus - A cylindrical water tank has radius r=1 meter and height 10 meters. ...
- Calculus (Definite Integrals - Work) - Recall that work is defined to be force ...
- Calculus 2 - Consider a trough with triangular ends where the tank is 10 feet ...
- Calculus 2 - Calculus 2. Tom and Mike have a bet as to who will do the most work...
- Calculus Applied Integrals - A cylindrical tank of 22.1m high with radius 12.2m ...
- Math - Calculus 2 - An underground tank full of water has the following shape: ...
- Calculus - Water is running into an open conical tank at the rate of 9 cubic ...
- calculus - A conical tank has a diameter of 9ft and is 12 ft deep. If the tank ...

More Related Questions