Question

what is the volume of this sphere? round your answer to the nearest hundredth. 12 m cubic meters submit

Explanation:

Step1: Identify radius

The sphere has radius $r = 12 \text{ m}$.

Step2: Apply volume formula

The volume of a sphere is $V = \frac{4}{3}\pi r^3$. Substitute $r=12$:
$$V = \frac{4}{3}\pi (12)^3 = \frac{4}{3}\pi \times 1728 = 2304\pi$$

Step3: Compute and round

Calculate the numerical value: $2304\pi \approx 2304 \times 3.1415926535 = 7238.22947387$
Round to the nearest hundredth.

Answer:

$7238.23$ cubic meters