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.
- First, we need to find the radius. The diameter of the sphere is given as 3.5 ft, so the radius is half of that:
\[ r = \frac{3.5}{2} = 1.75 \text{ ft} \]
- Next, we substitute \( r \) into the volume formula. Using \( \pi \) as 3.14, we have:
\[ V = \frac{4}{3} \times 3.14 \times (1.75)^3 \]
- Now we will calculate \( (1.75)^3 \):
\[ (1.75)^3 = 1.75 \times 1.75 \times 1.75 = 5.359375 \]
- Plug this value back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 5.359375 \]
- Calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.18667 \]
- Now multiply this result by \( 5.359375 \):
\[ V \approx 4.18667 \times 5.359375 \approx 22.434085 \]
- Finally, round to the nearest hundredth:
\[ V \approx 22.43 \]
So the volume of the sphere is approximately 22.44 cubic feet.
The correct response is:
22.44 cubic feet.