Hello Everyone,(adsbygoogle = window.adsbygoogle || []).push({});

I am a bit new here, and I hope this will be the correct area to ask for help on this. (I've been away from math for a good number of years).

I am trying to figure out how to find the volume of an area removed from a cylinder.

Say I have a cylinder with a radius of 6 units, and a height of 5 units standing on a table. I have a volume of 565.7142857142852 cubic units or so..

But, I'd like to drill a hole into the side of this cylinder using a drill bit with a radius of 1.5 units (3 unit diameter). This would create a cylinder of empty space inside it, except the ends of the empty-cylinder would be rounded to the shape of the orginal cylinder, right?

How would I go about finding the volume removed?

I've been searching for this for a few days now.. I can find arc segment length, segment width.. obviously the radius is 6 units, and also end up with an arc height.. but there has to be some way to figure out the volume of the rounded ends to the cylinder, right?

Any help is much appreciated, I am in no rush to find an answer, but it's been stuck in my mind for a while now :-).

Regards,

C. Frost

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# Learning to solve for volumes? help appreciated.

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