what is the volume of a sphere with a radius of $6.6\\text{ cm}$, rounded to the nearest tenth of a cubic…
what is the volume of a sphere with a radius of $6.6\\text{ cm}$, rounded to the nearest tenth of a cubic centimeter?
Answer
Explanation:
Step1: Identify the volume formula
$$V = \frac{4}{3}\pi r^{3}$$
Step2: Substitute the given radius
$$V = \frac{4}{3}\pi (6.6)^{3}$$
Step3: Calculate the cube of the radius
$$6.6^{3} = 287.496$$
Step4: Multiply by the remaining constants
$$V = \frac{4}{3} \times \pi \times 287.496 \approx 1204.267$$
Step5: Round to the nearest tenth
$$V \approx 1204.3$$
Answer:
1204.3 $\text{cm}^{3}$