To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
- First, we need to find the radius of the basketball. The diameter is given as 9.2 inches. The radius is half of the diameter:
\[ r = \frac{9.2}{2} = 4.6 \text{ inches} \]
- Now we can substitute the radius and \( \pi \approx 3.14 \) into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (4.6)^3 \]
- First, calculate \( (4.6)^3 \):
\[ (4.6)^3 = 4.6 \times 4.6 \times 4.6 = 97.336 \]
- Now substitute \( (4.6)^3 \) back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 97.336 \]
- Calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
- Now, calculate the volume:
\[ V \approx 4.1867 \times 97.336 \approx 407.51 \]
So, rounding to the nearest hundredth, the volume of the basketball is approximately:
\[ \boxed{407.51 \text{ in}^3} \]
Thus, the correct response is 407.51 inches cubed.
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