Question

Use the image to answer the question.

A circle is traced along the circumference of a sphere at the center like a latitude. A dot is plotted at the center. The radius measures 5 feet.

What is the volume of the sphere using 3.14 for pi and rounded to the nearest tenth?

(1 point)
Responses

4,188.8 ft.3
4,188.8 ft. cubed

104.7 ft.3
104.7 ft. cubed

62.8 ft.3
62.8 ft. cubed

523.3 ft.3

Answer 1

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 radius \( r \) is 5 feet and using \( \pi \approx 3.14 \), we can substitute these values into the formula:

\[
V = \frac{4}{3} \times 3.14 \times (5)^3
\]

Now calculate \( (5)^3 \):

\[
(5)^3 = 125
\]

Now plug this back into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 125
\]

First, calculate \( 3.14 \times 125 \):

\[
3.14 \times 125 = 392.5
\]

Now multiply by \( \frac{4}{3} \):

\[
V = \frac{4}{3} \times 392.5
\]

Calculating \( \frac{4 \times 392.5}{3} = \frac{1570}{3} \approx 523.3333 \)

Rounding to the nearest tenth, we get:

\[
V \approx 523.3 \text{ ft}^3
\]

Therefore, the answer is:

**523.3 ft.³**