Work Integration Problem

Feb 2010
17
0
I'm currently having a hard time with this problem:

A tank in the shape of an inverted right circular cone has height
meters and radius
meters. It is filled with
meters of hot chocolate.
Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is


I've tried a few methods using integration and got 41322265.046 Joules as an answer but that was wrong. Any ideas?
 

skeeter

MHF Helper
Jun 2008
16,216
6,764
North Texas
I'm currently having a hard time with this problem:

A tank in the shape of an inverted right circular cone has height
meters and radius
meters. It is filled with
meters of hot chocolate.
Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is


I've tried a few methods using integration and got 41322265.046 Joules as an answer but that was wrong. Any ideas?
\(\displaystyle W = 1460g \cdot \pi \int_0^7 \left(\frac{5y}{7}\right)^2 (7-y) \, dy\)