To calculate the volume \( V \) of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
Where \( r \) is the radius of the sphere. The radius is half of the diameter.
Given that the diameter of the sphere is 5 inches, the radius \( r \) would be:
\[ r = \frac{5}{2} = 2.5 \text{ inches} \]
Now, plug the radius into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (2.5)^3 \]
First, calculate \( (2.5)^3 \):
\[ (2.5)^3 = 2.5 \times 2.5 \times 2.5 = 15.625 \]
Now, substitute \( 15.625 \) back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 15.625 \]
Next, calculate \( 3.14 \times 15.625 \):
\[ 3.14 \times 15.625 = 49.0625 \]
Now, compute \( \frac{4}{3} \times 49.0625 \):
\[ V = \frac{4 \times 49.0625}{3} = \frac{196.25}{3} \approx 65.4167 \]
Finally, round \( 65.4167 \) to the nearest tenth:
\[ V \approx 65.4 \text{ cubic inches} \]
Thus, the volume of the sphere is approximately 65.4 cubic inches.