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Answer :
To find the volume of a sphere with a radius of 36.6 cm, you can follow these steps:
1. Understand the formula for the volume of a sphere:
The formula to calculate the volume of a sphere is:
[tex]\[
V = \frac{4}{3} \pi r^3
\][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to 3.14159, and [tex]\( r \)[/tex] is the radius of the sphere.
2. Substitute the given radius into the formula:
The radius provided is 36.6 cm. Substitute this value into the formula:
[tex]\[
V = \frac{4}{3} \times \pi \times (36.6)^3
\][/tex]
3. Calculate the volume:
When you compute the expression [tex]\(\frac{4}{3} \times \pi \times (36.6)^3\)[/tex], you will find the calculated volume of the sphere is approximately 205367.57052608588 cubic centimeters.
4. Round to the nearest tenth:
Round the calculated volume to the nearest tenth of a cubic centimeter. The volume rounded to the nearest tenth is 205367.6 cm³.
Therefore, the volume of the sphere, rounded to the nearest tenth of a cubic centimeter, is 205367.6 cm³.
1. Understand the formula for the volume of a sphere:
The formula to calculate the volume of a sphere is:
[tex]\[
V = \frac{4}{3} \pi r^3
\][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to 3.14159, and [tex]\( r \)[/tex] is the radius of the sphere.
2. Substitute the given radius into the formula:
The radius provided is 36.6 cm. Substitute this value into the formula:
[tex]\[
V = \frac{4}{3} \times \pi \times (36.6)^3
\][/tex]
3. Calculate the volume:
When you compute the expression [tex]\(\frac{4}{3} \times \pi \times (36.6)^3\)[/tex], you will find the calculated volume of the sphere is approximately 205367.57052608588 cubic centimeters.
4. Round to the nearest tenth:
Round the calculated volume to the nearest tenth of a cubic centimeter. The volume rounded to the nearest tenth is 205367.6 cm³.
Therefore, the volume of the sphere, rounded to the nearest tenth of a cubic centimeter, is 205367.6 cm³.
Thank you for reading the article What is the volume of a sphere with a radius of 36 6 cm rounded to the nearest tenth of a cubic centimeter Provide your. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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