Hi, I know

the gist of how to do these problems but I am getting the wrong answers.

A tank in the shape of an inverted right circular cone has height 6 meters and radius 3 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is

volume= pi r^2

r=3, y=6 so r=.5y

distance is from 0 to 5 meters

density is given as 1010

So W= density * volume * distance

W= 1010 [pi(.5y)^2]dy(6-y)

w=intregal from 0 to 5 (6-y)1010pi(1/4)y^2dy

=(1010pi/4) intregal from 0 to 5, 6y^3-y^3dy

and so on... I got 74367.388 J but it's wrong. any help will be appreciated. Thanks