Volume

The diameter of the largest ball that can fit in a cube matches the length of the cube's edge.

volume of a sphere = $\frac43 * \pi * \text{radius}^3$

a.

diameter = 1 , radius = 1/2

volume = $\frac43*\pi*(\frac12)^3=\frac{\pi}6 \approx 0.524 \text{ cubic feet}$

b.

diameter = 2 , radius = 1

volume = $\frac43 * \pi * 1^3 = \frac{4\pi}{3} \approx 4.189 \text{ cubic feet}$

c.

diameter = 3 , radius = 3/2

Do you see what to do now?

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