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 diameter of the sphere is 3.5 ft, the radius \( r \) is:
\[ r = \frac{3.5}{2} = 1.75 \text{ ft} \]
Now, substitute the radius into the volume formula using \( \pi \approx 3.14 \):
\[ V = \frac{4}{3} \times 3.14 \times (1.75)^3 \]
Now calculate \( (1.75)^3 \):
\[ 1.75^3 = 1.75 \times 1.75 \times 1.75 = 5.359375 \]
Now plug this value back into the volume formula:
\[ V \approx \frac{4}{3} \times 3.14 \times 5.359375 \]
Calculating \( \frac{4}{3} \):
\[ \frac{4}{3} \approx 1.3333 \]
Now multiply:
\[ V \approx 1.3333 \times 3.14 \times 5.359375 \]
Calculating \( 1.3333 \times 3.14 \):
\[ 1.3333 \times 3.14 \approx 4.188 \]
Now multiply by \( 5.359375 \):
\[ V \approx 4.188 \times 5.359375 \approx 22.44 \]
So, rounding to the nearest hundredth, the volume of the sphere is approximately:
\[ 22.44 \text{ ft}^3 \]
Thus, the correct response is:
22.44 ft.³ or 22.44 feet cubed.
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