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, we need to find the radius. The radius is half of the diameter, so:
\[ r = \frac{diameter}{2} = \frac{7 \text{ inches}}{2} = 3.5 \text{ inches} \]
Now we can substitute the radius into the volume formula. Using \( \pi \approx 3.14 \):
\[ V = \frac{4}{3} \times 3.14 \times (3.5)^3 \]
First, calculate \( (3.5)^3 \):
\[ (3.5)^3 = 3.5 \times 3.5 \times 3.5 = 12.25 \times 3.5 = 42.875 \]
Now, substitute \( 42.875 \) back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 42.875 \]
Calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
Now multiply that by \( 42.875 \):
\[ V \approx 4.1867 \times 42.875 \approx 179.1904 \]
Finally, rounding to the nearest tenth gives:
\[ V \approx 179.2 \text{ cubic inches} \]
So the volume of the sphere is approximately 179.2 cubic inches.
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