To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3}\pi r^3 \]
where \( V \) is the volume, \( \pi \) is Pi (approximately 3.14), and \( r \) is the radius of the sphere. The radius is half the diameter, so for a basketball with a diameter of 9.2 inches, the radius \( r \) is:
\[ r = \frac{9.2 \text{ inches}}{2} = 4.6 \text{ inches} \]
Now plug the radius into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (4.6)^3 \]
Calculate the volume:
\[ V = \frac{4}{3} \times 3.14 \times 4.6^3 \]
\[ V = \frac{4}{3} \times 3.14 \times 97.336 \]
\[ V = 4.18667 \times 97.336 \]
\[ V \approx 407.72 \]
Rounded to the nearest hundredth:
\[ V \approx 407.72 \, \text{in}^3 \]
So, the closest answer is:
407.51 inches cubed