Question

what is the volume of a sphere with a diameter of 6 m, rounded to the nearest tenth of a cubic meter?

Explanation:

Step1: Find radius from diameter

The radius $r$ is half the diameter.
$r = \frac{6}{2} = 3$ m

Step2: Apply sphere volume formula

Use the formula for the volume of a sphere $V = \frac{4}{3}\pi r^3$.
$V = \frac{4}{3}\pi (3)^3 = \frac{4}{3}\pi \times 27 = 36\pi$

Step3: Calculate and round the value

Compute the numerical value and round to the nearest tenth.
$V \approx 36 \times 3.1416 = 113.0976 \approx 113.1$

Answer:

$113.1$ cubic meters