To calculate the volume of a sphere, we use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
Where \( V \) is the volume of the sphere and \( r \) is the radius of the sphere.
Let's calculate it step by step using a radius (\( r \)) of 8.8 inches.
First, calculate the radius cubed (\( r^3 \)):
\[ r^3 = 8.8^3 = 8.8 \times 8.8 \times 8.8 \]
\[ r^3 = 77.44 \times 8.8 \]
\[ r^3 = 681.472 \]
Now multiply this value by \( \pi \) (for our purposes we can use \( \pi \) as approximately 3.14159):
\[ \pi \times r^3 = 3.14159 \times 681.472 \]
\[ \pi \times r^3 \approx 2144.25690768 \]
And then multiply by \(\frac{4}{3}\) to get the volume:
\[ V = \frac{4}{3} \times 2144.25690768 \]
\[ V \approx \frac{4}{3} \times 2144.25690768 \]
\[ V \approx 4 \times 714.75230256 \]
\[ V \approx 2859.00921024 \]
Finally, we round the volume to the nearest tenth of a cubic inch:
\[ V \approx 2859.0 \] in³
Thus, the volume of the sphere, rounded to the nearest tenth, is 2859.0 in³.
