To find the volume of a sphere, we use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
Given that the radius \( r = 1.1 \) feet, we can substitute this value into the formula:
\[ V = \frac{4}{3} \pi (1.1)^3 \]
First, calculate \( (1.1)^3 \):
\[ (1.1)^3 = 1.1 \times 1.1 \times 1.1 = 1.331 \]
Now, substitute \( 1.331 \) into the volume formula:
\[ V = \frac{4}{3} \pi (1.331) \]
Now, calculate \( \frac{4}{3} \times 1.331 \):
\[ \frac{4}{3} \times 1.331 \approx 1.775 \]
Next, multiply this result by \( \pi \) (using \( \pi \approx 3.14159 \)):
\[ V \approx 1.775 \times 3.14159 \approx 5.580 \]
Now rounding this to the nearest hundredth:
\[ V \approx 5.58 \text{ ft}^3 \]
Thus, the volume of the sphere is approximately \( 5.58 \text{ ft}^3 \).
The answer is:
2. 5.58 ft³