To find the volume \( V \) of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere. Given that the radius \( r \) is 1.1 feet, we can calculate the volume as follows:
- Calculate \( r^3 \):
\[ r^3 = (1.1)^3 = 1.1 \times 1.1 \times 1.1 = 1.331 \]
- Plug this value into the volume formula:
\[ V = \frac{4}{3} \pi (1.331) \]
- Now, substitute \( \pi \) with approximately \( 3.14159 \):
\[ V \approx \frac{4}{3} \times 3.14159 \times 1.331 \]
- Calculate \( \frac{4}{3} \times 3.14159 \):
\[ \frac{4}{3} \times 3.14159 \approx 4.18879 \]
- Now multiply this by \( 1.331 \):
\[ V \approx 4.18879 \times 1.331 \approx 5.5705 \]
Finally, rounding this to the nearest hundredth gives \( 5.57 , \text{ft}^3 \).
Therefore, the closest option you provided is 5.58 ft³.