Answer :

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

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

where [tex]\( V \)[/tex] is the volume and [tex]\( r \)[/tex] is the radius of the sphere.

Step 1: Identify the radius.
The radius of the sphere is given as 36.6 cm.

Step 2: Apply the formula.
Substitute the radius into the formula:

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

Step 3: Calculate the volume.
Perform the calculation:

1. Compute [tex]\( (36.6)^3 \)[/tex].
2. Multiply the result by [tex]\( \pi \)[/tex].
3. Multiply by [tex]\( \frac{4}{3} \)[/tex].

Step 4: Round the result.
Once you have the volume, round it to the nearest tenth of a cubic centimeter.

The final volume of the sphere is approximately 205,367.6 cubic centimeters.

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Rewritten by : Barada