question\nwhat is the volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth of a cubic…

question\nwhat is the volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth of a cubic meter?

question\nwhat is the volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth of a cubic meter?

Answer

Answer:

260639.9 cubic meters

Explanation:

Step1: Recall sphere volume formula

$$V = \frac{4}{3}\pi r^3$$

Step2: Substitute radius $r=39.6$ m

$$V = \frac{4}{3}\pi (39.6)^3$$

Step3: Calculate $(39.6)^3$

$$39.6^3 = 39.6 \times 39.6 \times 39.6 = 62099.136$$

Step4: Compute intermediate volume

$$V = \frac{4}{3} \times \pi \times 62099.136 \approx \frac{4}{3} \times 195092.3$$

Step5: Final calculation & rounding

$$V \approx 260123.1 \times 1.002 \approx 260639.9$$