To find the volume of a ball (which is a sphere) with a given diameter, you should follow these steps:
1. Determine the radius of the ball: The radius (r) of a sphere is half of its diameter. So if the diameter is 6 inches: [tex]\[
\text{radius} = \frac{\text{diameter}}{2} = \frac{6 \text{ inches}}{2} = 3 \text{ inches}
\][/tex]
2. Find the formula for the volume of a sphere: The volume (V) of a sphere is given by the formula: [tex]\[
V = \frac{4}{3} \pi r^3
\][/tex] where [tex]\(\pi\)[/tex] is approximately 3.14159 and [tex]\(r\)[/tex] is the radius of the sphere.
3. Substitute the radius into the formula: Use the radius we calculated: [tex]\[
V = \frac{4}{3} \pi (3 \text{ inches})^3
\][/tex]
