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]
where [tex]\( V \)[/tex] is the volume and [tex]\( r \)[/tex] is the radius of the sphere.
Let's go through the steps:
1. Identify the Given Value:
- The radius [tex]\( r \)[/tex] is given as 36.6 cm.
2. Substitute the Value into the Formula:
- Plug the radius into the formula:
[tex]\[ V = \frac{4}{3} \pi (36.6)^3 \][/tex]
3. Calculate the Volume:
- First, calculate [tex]\( (36.6)^3 \)[/tex], which means multiplying 36.6 by itself three times.
- Next, multiply the result by [tex]\( \pi \)[/tex].
- Finally, multiply that result by [tex]\( \frac{4}{3} \)[/tex].
4. Round to the Nearest Tenth:
- The calculated volume turns out to be approximately 205,367.6 cubic centimeters when rounded to the nearest tenth.
So, the volume of the sphere is about 205,367.6 cm³.
[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.
Let's go through the steps:
1. Identify the Given Value:
- The radius [tex]\( r \)[/tex] is given as 36.6 cm.
2. Substitute the Value into the Formula:
- Plug the radius into the formula:
[tex]\[ V = \frac{4}{3} \pi (36.6)^3 \][/tex]
3. Calculate the Volume:
- First, calculate [tex]\( (36.6)^3 \)[/tex], which means multiplying 36.6 by itself three times.
- Next, multiply the result by [tex]\( \pi \)[/tex].
- Finally, multiply that result by [tex]\( \frac{4}{3} \)[/tex].
4. Round to the Nearest Tenth:
- The calculated volume turns out to be approximately 205,367.6 cubic centimeters when rounded to the nearest tenth.
So, the volume of the sphere is about 205,367.6 cm³.