To determine the volume of a soccer ball, which is a sphere, you use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
Given that the diameter of the soccer ball is 7 inches, the radius \( r \) is half the diameter. So:
\[ r = \frac{diameter}{2} = \frac{7}{2} = 3.5 \text{ inches} \]
Now, we'll plug this value of the radius into the volume formula:
\[ V = \frac{4}{3} \pi (3.5)^3 \]
Next, calculate the radius cubed:
\[ (3.5)^3 = 3.5 \times 3.5 \times 3.5 = 42.875 \text{ cubic inches} \]
Now, multiply this by \( \pi \) (For calculation purposes, we can use the approximate value for π: 3.14159):
\[ V \approx \frac{4}{3} \times 3.14159 \times 42.875 \]
Multiplying 42.875 by π:
\[ V \approx \frac{4}{3} \times 134.64675 \]
Now, calculate this product:
\[ V \approx \frac{4}{3} \times 134.64675 \approx 179.529 \text{ cubic inches} \]
Finally, round this value to the nearest tenth:
\[ V \approx 179.5 \text{ cubic inches} \]
Therefore, the volume of the soccer ball, rounded to the nearest tenth, is approximately 179.5 cubic inches.
