SOLUTION: how do I find the volume of a rectangular solid with cylindrical hole of diameter 34? I believe the l=19, w=59, h=56

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Question 464104: how do I find the volume of a rectangular solid with cylindrical hole of diameter 34? I believe the l=19, w=59, h=56
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your rectangular solid measures:
19 length
59 width
56 height

the cylinder that will be removed from your rectangular solid has a diameter of 34.
that means it has a radius of 34/2 = 17.
you need to get the volume of the rectangular solid and subtract the volume of the cylinder.
the volume of the rectangular solid is equal to 19 * 59 * 56 = 62776 cubic units.
that's what it would be without the removal of the cylindrical solid.
the volume of your cylinder is equal to pi * radius squared * height.
that would be equal to pi * 17 squared * 56 which is equal to 50843.53551 cubic units.
The volume of the rectangular solid that is left after removing the cylindrical solid that will leave a cylindricall hole is equal to 62776 - 50843.53551 = 11932.46449 cubic units which can be rounded to whatever accuracy desired.