- #1

Seraph404

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- 0

## Homework Statement

A spherical tank is full of water. If radius r = 3m and height h = 1.5m, find the work W required to pump the water out of the spout. (Use 9.8 for g and 3.14 [tex]\pi[/tex])

## Homework Equations

Work is the integral from a to b of f(x)dx.

## The Attempt at a Solution

Volume= area * thickness, so I got V= pi*r

^{2}dx for any given slice of that sphere. I could be wrong, but I think the density of water is 1000kg/m

^{3}, so I multiplied that by the volume to get mass of the water, and then multiplied the mass by 9.8 to get the weight of water. Then I set up my integral from 0 to 1.5 of the answer I got from multiplying all those numbers out * xdx.

But I got the wrong answer. So how do I work a problem such as this?