Answer:
r ≅ 3.00
Explanation:
First we need to get the formula for finding the volume of sphere. The formula is:
![V=(4)/(3)\pi r^(3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/904v6t92j764tuemw89ou00p3u81fhmqpa.png)
Now to find for the radius, we need to input the value that we know into the formula.
![113.14=(4)/(3)\pi r^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tkw5661x0tx37rlmjhus92ukgo9cj22kkl.png)
Now we multiply both sides by 3/4.
![(3)/(4)x113.14=(4)/(3)\pi r^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5sie0jm7bi62cyjwajwymkdk9yg0eyq8me.png)
![84.86=\pi r^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9rfeo2ui30xnlifmxensn97cgyn7ie6bgp.png)
Now divide both sides by π.
![(84.86)/(\pi)=(\pi r^(3))/(\pi)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tg7mf1p4fmglmfc103jzb97plvs09koo91.png)
![27.01=r^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7s823jynsl2yte7jip7gbi3fe44j4vuk81.png)
To find r, we finally get the cube root of both sides.
![\sqrt[3]{r^(3) }= \sqrt[3]{27.01}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hm54ia15hoj1lmd1fqpruyyam0iheuxftt.png)
r ≅ 3.00