To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
Given the radius \( r = 1.1 \) feet, we can substitute this value into the formula:
\[ V = \frac{4}{3} \pi (1.1)^3 \]
Calculating \( (1.1)^3 \):
\[ (1.1)^3 = 1.1 \times 1.1 \times 1.1 = 1.331 \]
Now, substitute back into the volume formula:
\[ V = \frac{4}{3} \pi (1.331) \]
Calculating \( \frac{4}{3} \times 1.331 \):
\[ \frac{4}{3} \times 1.331 \approx 1.775 \]
Now, multiply by \( \pi \) (approximately 3.14159):
\[ V \approx 1.775 \times 3.14159 \approx 5.579 \]
Rounding to the nearest hundredth:
\[ V \approx 5.58 , \text{ft}^3 \]
Thus, the volume of the sphere is approximately 5.58 ft³.