Question

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

523.3 ft.3
523.3 ft. cubed

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

104.7 ft.3
104.7 ft. cubed

62.8 ft.3

Answer 1

To find the volume of a sphere, we use the formula:

\[ V = \frac{4}{3} \pi r^3 \]

where \( V \) is the volume and \( r \) is the radius.

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

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

First, calculate \( (5)^3 \):

\[ (5)^3 = 125 \]

Now, substitute this value into the volume formula:

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

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

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

Now multiply by 125:

\[ V \approx 4.18667 \times 125 \approx 523.334 \]

Rounding this to the nearest tenth, we get:

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

Therefore, the correct answer is:

523.3 ft.³