Calculus 3: Triple Integrals (21 of 25) Finding the Volume of a Partial Cylinder

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In this video I will find the volume of a partial cylinder cone in cylindrical coordinates.

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Hi Michel! Great video. I was trying to figure out the volume of a horizontal cylinder cut out of a vertical shaft (hollow cylinder), if the radius of the horizontal cylinder is less than the inner-radius of the vertical shaft (i.e. a pipe cutout from a concrete manhole). I tried using triple integrals in xyz, but it gave me a difficult to solve solution. Would cylindrical coordinates be better, like you have used here? Is there a video/reference/example you know of that shows this type of calculation? I could not find exactly that on the internet. I found the volume of two intersecting cylinders with different radii, but it got confusing when I tried to have the larger cylinder be a shaft...

soularplexus
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How tf does this only have 15 likes? great content, sound explanation. instant sub.

ivanrodionov