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.
First, you need to find the radius. The diameter of the sphere is given as 3.5 ft, so the radius \( r \) is half of the diameter:
\[ r = \frac{3.5}{2} = 1.75 \text{ ft} \]
Now, substitute \( r \) into the volume formula along with \( \pi = 3.14 \):
\[ V = \frac{4}{3} \times 3.14 \times (1.75)^3 \]
Calculating \( (1.75)^3 \):
\[ (1.75)^3 = 1.75 \times 1.75 \times 1.75 = 5.359375 \]
Now substitute back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 5.359375 \]
First, calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1866667 \]
Now multiply that by \( 5.359375 \):
\[ V \approx 4.1866667 \times 5.359375 \approx 22.44 \text{ ft}^3 \]
Rounding to the nearest hundredth gives you:
\[ V \approx 22.44 \text{ ft}^3 \]
So the answer is:
22.44 ft³