Answer:
Exact answer is 10.4ft ... approximation is 12ft
Explanation:
The formula for volume of a sphere is as follows
![v \: = \: (4)/(3) \pi \: {r}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8xq2jbjanjpz1ih9ui900vsd9dk1i6s8pp.png)
Simply plug volume in and solve for r to get the radius
![113.04 = (4)/(3) \pi \: {r}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wl3vgofvw2z6kk3bsyibt9mzxoxdyrzefr.png)
![26.99 = {r}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/v89arkhtnrkuwn5mgs48smyhrlhbyfr2xm.png)
![r = 5.2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ny7eecil8mhzo61v6x0palb8lzfoq0ojkk.png)
now simply multiply the radius by 2 to get the answer of 10.4ft
if you do the same calculation but switch 113.04 to 120 to do the approximation value you get 12ft