a water tank has the shape of an inverted circular cone (pointy end down) with a diameter of a 6 feet and a height of 6 feet. if the tank is full of water, find the work required to empty the tank through a pipe that extends 2 feet above the top of the tank. use 62.4 as the weight-density of the water. give your answer in foot-pounds.

Question

anonymous · Answer

well my problem is with the integral setup
 I have: W =  (from 0 to 6) S (8-y)y^2 (1/4 x 62.4pi)dy

anonymous · Answer

because the pipe sticking out from the cone is what is throwing me off.

anonymous · Answer

W=∫ 0 6 (8−y 2 )∗y 2 ∗(62.4π/4 )dy