To calculate the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
First, find the radius. The radius is half of the diameter:
\[ \text{Diameter} = 7 \text{ inches} \ \text{Radius} (r) = \frac{7 \text{ inches}}{2} = 3.5 \text{ inches} \]
Now, substitute the radius into the volume formula. Using \( \pi \approx 3.14 \):
\[ V = \frac{4}{3} \times 3.14 \times (3.5)^3 \]
Calculate \( (3.5)^3 \):
\[ (3.5)^3 = 3.5 \times 3.5 \times 3.5 = 42.875 \]
Now substitute this back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 42.875 \]
Calculating \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \approx 1.3333 \ 1.3333 \times 3.14 \approx 4.1887 \]
Now calculate the volume:
\[ V \approx 4.1887 \times 42.875 \approx 179.594 \]
Finally, round to the nearest tenth:
\[ V \approx 179.6 \text{ cubic inches} \]
The volume of the sphere is approximately 179.6 inches³.