Question

Find the volume of a sphere with a radius 1.1 ft. Use 3.14 as an approximation for pi. Round your answer to the nearest hundredth, if necessary.(1 point)
Responses

15.2 ft.3
5.2 ft. cubed

13.82 ft.3
13.82 ft. cubed

5.57 ft.3
5.57 ft. cubed

16.72 ft.3

Answer 1

To find the volume \( V \) 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 radius \( r = 1.1 \) ft and using \( \pi \approx 3.14 \), we can calculate the volume:

1. First, calculate \( r^3 \):

\[
r^3 = (1.1)^3 = 1.1 \times 1.1 \times 1.1 = 1.331
\]

2. Now plug this into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 1.331
\]

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

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

4. Now multiply by \( 1.331 \):

\[
V \approx 4.18667 \times 1.331 \approx 5.568
\]

5. Finally, round to the nearest hundredth:

The volume \( V \approx 5.57 \) ft³.

So, the correct answer is:

**5.57 ft.³**