Question

A sphere has a radius of 5.3 ft.

What is the volume of the sphere to the nearest tenth?

use 3.14 for pi.

Responses

16.6 ft³
16.6 ft³

148.9 ft³
148.9 ft³

522.4 ft³
522.4 ft³

623.3 ft³

Answer 1

To calculate 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:
- Radius \( r = 5.3 \) ft
- Use \( \pi \approx 3.14 \)

Now, substituting the values into the formula:

\[
V = \frac{4}{3} \times 3.14 \times (5.3)^3
\]

First, calculate \( (5.3)^3 \):

\[
(5.3)^3 = 5.3 \times 5.3 \times 5.3 \approx 148.877
\]

Now, substitute this back into the volume formula:

\[
V \approx \frac{4}{3} \times 3.14 \times 148.877
\]

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

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

Now, multiply by \( 148.877 \):

\[
V \approx 4.18667 \times 148.877 \approx 623.287
\]

Rounding to the nearest tenth, the volume \( V \approx 623.3 \text{ ft}^3 \).

Therefore, the answer is:

**623.3 ft³**