Width of 12 in. Calculate the volume of the sphere. Round to the nearest tenth if necessary

1. Identify the radius of the sphere. Given the width is 12 inches, the diameter is 12 inches. Therefore, the radius is half of the diameter:
r = \frac{12}{2} = 6 \, \text{in}

2. Use the formula for the volume of a sphere:
V = \frac{4}{3} \pi r^3

3. Substitute the radius into the formula:
V = \frac{4}{3} \pi (6)^3

4. Calculate:
V = \frac{4}{3} \pi \times 216 = \frac{864}{3} \pi = 288 \pi

5. Approximate using \pi \approx 3.1416 :
V \approx 288 \times 3.1416 = 904.8 \, \text{in}^3

6. The volume of the sphere, rounded to the nearest tenth, is approximately:
904.8 \, \text{in}^3