# Work Problem

1. May 8, 2005

### Richter915

You have a container which has the volume of y=x^4 from y=0 to y=16. This tank is filled with water...how much work is required to pump all of the water out of this 16 meter tall tank. I'm not too sure where I went wrong here because I know work is the integral of Force times Distance. Please help, thanks.

2. May 8, 2005

### Jameson

What is the force in this case? And what is the distance? How can you express the force and the distance?

Jameson

3. May 8, 2005

### HallsofIvy

Staff Emeritus
It is impossible for us to tell you where you went wrong if you don't tell us what you did!

4. May 8, 2005

### Richter915

$$W = FD$$
$$F = VDg$$
$$W = \int (1000)(9.8)(V)(D)$$

This is where I run into a problem...I put that VD equals (pi/16)y^3dy. I really am not sure what to do from here because that's where my mistake is. Please help.