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.
For a sphere with a radius of 1.1 feet:
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Calculate \( r^3 \): \[ r^3 = (1.1)^3 = 1.1 \times 1.1 \times 1.1 = 1.331 \]
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Now, substitute this value into the volume formula: \[ V = \frac{4}{3} \pi (1.1)^3 = \frac{4}{3} \pi (1.331) \]
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Calculate: \[ V \approx \frac{4}{3} \times 3.14159 \times 1.331 \] \[ V \approx \frac{4}{3} \times 3.14159 \times 1.331 \approx \frac{4 \times 3.14159 \times 1.331}{3} \] \[ V \approx \frac{16.755}{3} \approx 5.585 \]
Now round this to the nearest hundredth: \[ 5.585 \text{ ft}^3 \approx 5.58 \text{ ft}^3 \]
Thus, the volume of the sphere is:
\[ \boxed{5.58 \text{ ft}^3} \]