calc easy question help needed work topic only final answer wanted

Calculus
Tutor: None Selected Time limit: 1 Day

Sep 28th, 2015

Hello! Hope you are having a good day.

Hi!

As with any problem like this, it is fairly easy to make a little mistake and not get the exact final answer.  For that reason, I encourage you to go through my steps to check for any minor errors.

This is a work problem with integrals.  Each horizontal slice is a circle with area = pi*r^2.  The radius of the slice depends on the y-coordinate.  We can solve for the radius in terms of y using the ratio 4/6 = r/y.  So r = 2y/3.  Then we integrate from 0 to 5 the integrand: 62.4*pi*(2y/3)^2.  The antiderivative is 62.4*pi*4/27*y^3.  Plugging in 5 and 0, we get 3630.28 ft-lb.  And plugging in 6 and 2, we get 6040.79 ft-lb.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 28th, 2015

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