### Instruction: A sphere is inscribed in a cube. Given that one edge of the cube is 6 inches, how many cubic inches are in the volume of the inscribed sphere? Express your answer in terms of $\pi$.### Response: So if one edge of the cube is 6 inches, then the radius of the sphere is half of that, or 3 inches.
That's right. So the volume of the sphere is $\frac{4}{3}\pi(3^3)$.
Which simplifies to $\frac{4}{3}\pi(27)$.
And that is equal to $36\pi$.