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WZ
Numerade Educator

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Problem 19 Easy Difficulty

Refer to the figure and find the volume generated by rotating the given region about the specified line.

$ \Re_1 $ about $ OA $

Answer

$\frac{1}{3} \pi$

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Video Transcript

okay, As we can see from the diagram, we conceive that we're integrating along the parallel access to the axis of rotation. We know we're looking at the line y equals acts, which is just like this on Reichel's axe Radius is our equals X. For this, we can use the disc method between you have pie on the outside. It's a constant from 01 Those are limits of integration. X squared. Jax, right? The integral using the power rule increased the expert by one divide by the new exponents. Now we're at the point we can plug in our values and we end up with our solution.