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.
Given that the diameter of the circle is 5 feet, the radius would be:
\[ r = \frac{5}{2} = 2.5 \text{ feet} \]
Now plug in the radius and π (using 3.14) into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (2.5)^3 \]
First, calculate \( (2.5)^3 \):
\[ (2.5)^3 = 2.5 \times 2.5 \times 2.5 = 15.625 \]
Now, substitute this back into the volume equation:
\[ V = \frac{4}{3} \times 3.14 \times 15.625 \]
Next, calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
Now, multiply this by 15.625:
\[ V \approx 4.1867 \times 15.625 \approx 65.5 \]
Hence, the approximate volume of the sphere is:
\[ V \approx 65.5 \text{ ft}^3 \]
This means none of the provided options match the calculated volume. Would you like me to double-check the answers or calculations?