The volume of the toy is about 406.42 cubic inches.
How to find the Volume of the given shape ?
we want the volume of a 12-inch cube with a 9-inch diameter hole through its center. The axis of the hole is perpendicular to opposite faces.
Hole volume
The volume of the hole is the volume of a cylinder 4.5 inches in radius and [tex]\sqrt{3}[/tex] 12 inches high. ( Volume of the cylinder)
V = πr²h
V = π(4.5 in)²([tex]\sqrt{3}[/tex] 12 in) = 243 [tex]\sqrt{3}[/tex] π in³ ≈ 1321.58 in³
Cube volume
The volume of a 12-in cube is .
V = s³
V = (12 in)³ = 1728 in³
piece volume = cube volume - hole volume
piece volume = 1728 in³ - 1321.58 in² = 406.42 in³
The volume of the piece is about 406.42cubic inches.
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