(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Work: Spherical Problem

1. The problem statement, all variables and given/known data

A tank is full of water. Find the workWrequired to pump the water out of the spout. (Use 9.8 forgand 3.14 for [PLAIN]http://www.webassign.net/images/pi.gif.[/URL] [Broken] Round your answer to three significant digits.)W=_________

r=3

h=1

3. The attempt at a solution

To set up this problem, I started by taking the area of one slice of water to be pi r[tex]^{2}[/tex] multiplied by an infitesimally small height [tex]\Delta y[/tex] to get volume. Then multiply this by the density of water; 1000 kg/m[tex]^{3}[/tex] to get the volume of one slice.

Now I want R as a function of, lets say y. We know the area of a circle is r[tex]^{2}[/tex]2+y[tex]^{2}[/tex]=3[tex]^{2}[/tex]. So r=sqrt(9-y[tex]^{2}[/tex]). Also, the distance for any slice from the top is 7-y.

After this I tried integrating from zero to six of the function 1000*pi*(9-y[tex]^{2}[/tex])*(7-y)*y. This came out to be negative....in fact -36000*pi..

Apparently, that is wrong. Where did I go wrong?

Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Work: Spherical Problem

**Physics Forums | Science Articles, Homework Help, Discussion**