(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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])

2. Relevant equations

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

3. 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?

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# Work needed to pump water out of spherical tank

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