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.
16.6ft^3
148.9 ft^3
522.4 ft^ 3
623.3 ft^3

Answer 1

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

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

where \( r \) is the radius of the sphere.

Given that the radius \( r = 5.3 \) ft, and using \( \pi \approx 3.14 \), we can substitute these values into the formula.

1. Calculate \( r^3 \):

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

2. Now, substitute \( r^3 \) into the volume formula:

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

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

\[
\frac{4}{3} \times 3.14 \approx 4.1887
\]

4. Now multiply by \( 148.877 \):

\[
V \approx 4.1887 \times 148.877 \approx 623.064
\]

5. Round to the nearest tenth:

\[
V \approx 623.1 \text{ ft}^3
\]

Looking at the provided options, the closest answer is:

**623.3 ft³**.