To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere and \( \pi \) is approximately 3.14.
First, we need to find the radius of the basketball. The diameter is given as 9.2 inches, so the radius is:
\[ r = \frac{diameter}{2} = \frac{9.2}{2} = 4.6 \text{ inches} \]
Now, we can substitute the value of the radius into the volume formula:
\[ V = \frac{4}{3} \pi (4.6)^3 \]
Calculating \( (4.6)^3 \):
\[ (4.6)^3 = 97.336 \]
Now substituting back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 97.336 \]
Calculating \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.18667 \]
Now multiplying:
\[ V \approx 4.18667 \times 97.336 \approx 407.51 \text{ in}^3 \]
Thus, the volume of the basketball is approximately \( 407.51 \) cubic inches.
The correct answer is:
407.51 in.³
1 answer