Answer :

To find the volume of a sphere with a radius of 36.6 cm, we can use the formula for the volume of a sphere:

[tex]\[ V = \frac{4}{3} \pi r^3 \][/tex]

Here's how you can calculate it step by step:

1. Identify the radius:
- The radius [tex]\( r \)[/tex] of the sphere is given as 36.6 cm.

2. Substitute the radius into the formula:
- Replace [tex]\( r \)[/tex] in the formula with 36.6 cm.

[tex]\[ V = \frac{4}{3} \pi (36.6)^3 \][/tex]

3. Calculate [tex]\( (36.6)^3:
- This step involves raising 36.6 to the power of 3.

4. Calculate the product:
- Multiply the result from step 3 by \( \pi \)[/tex] (approximately 3.14159).

5. Multiply by [tex]\(\frac{4}{3}\)[/tex]:
- Finally, multiply the result from step 4 by [tex]\(\frac{4}{3}\)[/tex].

After performing these calculations, you will get a volume of about 205,367.6 cubic centimeters.

So, the volume of the sphere, rounded to the nearest tenth of a cubic centimeter, is 205,367.6 cm³.

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