Question 464104
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.