To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
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First, calculate the radius from the diameter: \[ \text{Diameter} = 3.5 \text{ ft} \quad \Rightarrow \quad \text{Radius} = \frac{3.5}{2} = 1.75 \text{ ft} \]
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Now plug the radius into the volume formula: \[ V = \frac{4}{3} \cdot 3.14 \cdot (1.75)^3 \]
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Calculate \( (1.75)^3 \): \[ (1.75)^3 = 1.75 \times 1.75 \times 1.75 = 5.359375 \]
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Now substitute this back into the volume formula: \[ V = \frac{4}{3} \cdot 3.14 \cdot 5.359375 \]
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Calculate \( \frac{4}{3} \cdot 3.14 \): \[ \frac{4}{3} \cdot 3.14 \approx 4.18667 \]
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Now multiply by \( 5.359375 \): \[ V \approx 4.18667 \cdot 5.359375 \approx 22.44 \]
So, the volume of the sphere is approximately 22.44 ft³.
The correct response is: 22.44 ft.³
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