Question

Find the volume of a sphere with a diameter of 3.5 ft. Use 3.14 for pi. Round your answer to the nearest hundredth.

Hint: Make sure you use the correct formula to solve for the VOLUME OF A SPHERE, and be careful when rounding to the nearest hundredths, make sure you are using the right place value to get the correct answer. The formula for this is V = (4/3)(π) (r³).

(1 point)
Responses

43.96 cubic feet
43.96 cubic feet

22.44 cubic feet
22.44 cubic feet

67.31 cubic feet

Answer 1

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.

1. 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:

\[
r = \frac{3.5}{2} = 1.75 \text{ ft}
\]

2. Next, we substitute \( r \) into the volume formula. Using \( \pi \) as 3.14, we have:

\[
V = \frac{4}{3} \times 3.14 \times (1.75)^3
\]

3. Now we will calculate \( (1.75)^3 \):

\[
(1.75)^3 = 1.75 \times 1.75 \times 1.75 = 5.359375
\]

4. Plug this value back into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 5.359375
\]

5. Calculate \( \frac{4}{3} \times 3.14 \):

\[
\frac{4}{3} \times 3.14 \approx 4.18667
\]

6. Now multiply this result by \( 5.359375 \):

\[
V \approx 4.18667 \times 5.359375 \approx 22.434085
\]

7. 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**.