To find the volume of a sphere, the formula is:
\[ V = \frac{4}{3} \pi r^3 \]
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 inches, so the radius \( r \) is:
\[ r = \frac{9}{2} = 4.5 \text{ inches} \]
- Now we can substitute the radius into the volume formula. Using \( \pi \approx 3.14 \):
\[ V = \frac{4}{3} \times 3.14 \times (4.5)^3 \]
- Calculate \( (4.5)^3 \):
\[ (4.5)^3 = 4.5 \times 4.5 \times 4.5 = 20.25 \times 4.5 = 91.125 \]
- Substitute \( (4.5)^3 \) into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 91.125 \]
- Calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4 \times 3.14}{3} \approx \frac{12.56}{3} \approx 4.1867 \]
- Now multiply by \( 91.125 \):
\[ V \approx 4.1867 \times 91.125 \approx 381.7 \]
Rounding this value to the nearest tenth, we get:
381.5 inches cubed
So, the answer is:
381.5 inches cubed
1 answer