Question:
What is the volume of a sphere with a radius of 3.16 cm, rounded to the nearest tenth of a cubic centimeter?
Solution:
Remember that the formula for the volume of the sphere is:
![V\text{ = }(4)/(3)\pi r^3](https://img.qammunity.org/2023/formulas/mathematics/college/7xjwulequ2czfq56f4pix5abark0htn7zy.png)
Where r is the radius of the sphere. Now, if we have a sphere with a radius of 3.16 cm, then its volume is:
![V\text{ = }(4)/(3)\pi(3.16)^3\text{ = }132.175\approx132.18](https://img.qammunity.org/2023/formulas/mathematics/college/ds350ibruen5fps2i1cvwje8fggldkpd3v.png)
Then, we can conclude that the correct answer is:
![V\text{ = }132.175\approx132.18cm^3](https://img.qammunity.org/2023/formulas/mathematics/college/ajusl609m5tj3v77wqeqbkc83esehsp3n0.png)