A tank in the form of an inverted right circular cone is 8m across the top and 10m deep. If the tank is filled to a height of 9m with water, find the work done in pumping the water to the top of the tank:
the radius is 4, the depth is 10
the coordinates of the line passes through
(4,0) and (0,-10)
Equation of the line is: (y-(-10)) = 5/2(x - 0)
x = 2/5y + 4
work is :
and multiplied by y is the change in length to the top of the cone right?
is the math model correct?
thank you so much