Determine the work to empty a parabolic tank filled with wat

Determine the work to empty a parabolic tank filled with water which can be seen as the rotation about the y-axis of the function
y = (1/8)*x^2
on the interval 0 <= x <= 8. Note: Water weighs 62.4{lb/ft}^3.

Solution

using disc method volume=5000/(9*pi) mass=108908.545 lb now we can easily find work
Determine the work to empty a parabolic tank filled with water which can be seen as the rotation about the y-axis of the function y = (1/8)*x^2 on the interval

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