Question

question
what is the volume of a sphere with a radius of 6.7 m, rounded to the nearest tenth of a cubic meter?
answer attempt 1 out of 2
$\text{m}^3$
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Explanation:

Step1: Recall sphere volume formula

The formula for the volume $V$ of a sphere is $V = \frac{4}{3}\pi r^3$, where $r$ is the radius.

Step2: Substitute $r=6.7$ m

$$V = \frac{4}{3}\pi (6.7)^3$$
First calculate $6.7^3 = 6.7 \times 6.7 \times 6.7 = 300.763$

Step3: Compute intermediate value

$$V = \frac{4}{3}\pi \times 300.763 \approx \frac{4}{3} \times 3.1416 \times 300.763$$
$$\frac{4}{3} \times 3.1416 \approx 4.1888$$
$$4.1888 \times 300.763 \approx 1259.8$$

Answer:

1259.8 $\text{m}^3$