Take care with the radius and bounds of integration.

A$4$: Work. $(6\mathrm{.}4)$ I can use integrals to find the work done by a varying force in moving an object. REMEMBER: Water weighs $62\mathrm{.}4lb\frac{s}{f}{t}^3.$

A cylindrical tank with radius $3ft$ and height $8ft$ is filled to a depth of $6ft$ with water. Set up$,$ but do not evaluate, an integral expression for the work required to pump all the water in the tank through a pipe $2ft$ from the top of the tank.

$r=3ft,h=8ft$

Explain and show each step