Question

what is the volume of a sphere with a diameter of 9.6 m, rounded to the nearest tenth of a cubic meter?

Explanation:

Step1: Find the radius

The diameter \( d = 9.6 \, \text{m} \), so the radius \( r=\frac{d}{2}=\frac{9.6}{2} = 4.8 \, \text{m} \).

Step2: Use the volume formula for a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \). Substitute \( r = 4.8 \) into the formula:

$$
LATEXBLOCK0
$$

Answer:

The volume of the sphere is approximately \( 463.0 \, \text{cubic meters} \).