Chapter 8.5, Problem 22E

To determine

To find the work done it take to pump the contents to the rim.

Answer to Problem 22E

34582.65 ft-lbs work will it take to pump the contents to the rim.

Explanation of Solution

Given information: A conical tank contains a milk weighing $64.5lb/f{t}^3$ instead of olive oil.

Calculation:

As per problem,

  $\begin{array}{l}{\displaystyle {\int }_0^7\frac{64.5\pi }{4}\left(10-y\right)y^{2}dy}\\ \approx 34582.65\end{array}$

Hence, 34582.65 ft-lbs work will it take to pump the contents to the rim.