Question

find thw work to empty a conical tank with "full" water

Answer 1

A conical tank of radius 6 feet and height of 15 feet is 23(of the height) filled with sea water. The tank is located on top of a water tower. The vertex of the cone is 100 ft above ground level (cone is inverted). Find the work required to pump all the water to a point 18ft above the ground. Seawater weights 64lbsft3.

I set up my graph with the cone's vertex at the origin, but I'm not sure if that is right. If so, would h(x)=(−82+y)?

I know that A(x)=π(x)2 or more specifially A(x)=(4π/15)∗y

When I finally set up my problem it looked like this:

Work=64∗(4pi/15)∗(∫100(−82y+y2)dy)