Thread: Work Integration Problem

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?

Originally Posted by fleabass123

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?

$\displaystyle W = 1460g \cdot \pi \int_0^7 \left(\frac{5y}{7}\right)^2 (7-y) \, dy$