The volume of a cube is 1 cubic inch and then the 1/2 inch hole must be subtracted.

The volume of the 1/2 inch hole is expressed as:

V = PI(r^2)h, where r = 1/2 and h = 1

let 'v' represent the volume:

v = 1 - PI((1/2)^2)(1)

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volume once the 1/2 inch is bored out

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v = 0.2146...

the volume of the remaining solid is approximately 0.21 cubic inch