Find the volume of the region bounded by the curve
- Thread starter David S.
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Steven G
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raquelc, please let the student solve their own problems. We prefer to just give them hints to help them along. However if they show no work we usually just ask them to give us something so that we can help them a long. Thanks!
I haven't solved the question, but gave the starting point to be able to solve it. Is this not allowed?
Steven G
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As I mentioned before, we prefer not to offer any help (other than a small hint) if the student shows no work. Please look at other posts to get a feel for things. Thanks!
Here is a nice thread to look at: https://www.freemathhelp.com/forum/threads/geometry-need-help-in-above-problem.122870/#post-496683
Here is a nice thread to look at: https://www.freemathhelp.com/forum/threads/geometry-need-help-in-above-problem.122870/#post-496683
HallsofIvy
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The problem says "use a disk". Does that not tell you something? Look at one specific point on the x-axis. Draw a line from that point to the graph. Its length is \(\displaystyle y= \frac{x^2}{4}+ 1\). If you rotate that around the x-axis it sweeps out a disk with radius \(\displaystyle r= \frac{x^2}{4}+ 1\). What is the area of the circle? Imagine that it has thickness "dx". What is the volume of that disk? Now add the volume or all the disks at every x value (integrate).