Question

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

62.8 ft.3
62.8 ft. cubed

104.7 ft.3

half of spear is 5 ft

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, \( r \) is the radius, and \( \pi \) is approximately 3.14.

If half of the sphere is 5 feet, then the radius \( r \) is:

\[
r = 5 \, \text{ft}
\]

Now, substitute \( r \) into the volume formula:

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

Calculating \( (5)^3 \):

\[
(5)^3 = 125
\]

Now substitute this back into the formula:

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

Calculating \( \frac{4}{3} \times 125 \):

\[
\frac{4}{3} \times 125 = \frac{500}{3} \approx 166.67
\]

Now multiply this by 3.14:

\[
V \approx 166.67 \times 3.14 \approx 523.28
\]

Rounding to the nearest tenth:

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

So, the correct answer is:

**523.3 ft.³**