Answer:
r = 4.99873244587341
Step-by-step explanation:
*YOU WILL NEED A CALCULATOR TO SOLVE THIS*
First, you are going to need the cylinder volume formula [tex]V = \pi r^{2} h[/tex]
Then you plug what you have into the formula
[tex]1,177.5 = \pi r^{2} (15)[/tex]
And solve to get the radius
I will tell you step by step how to do so
Start off by dividing 1,177.5 by 15
[tex]\frac{1,177.5}{15} = \pi r^{2}\frac{15}{15}[/tex]
Then you divide [tex]\pi[/tex]
[tex]78.5 = \pi r^{2}[/tex]
[tex]\frac{78.5}{\pi} = \frac{\pi}{\pi} r^{2}[/tex]
Then you do the root of r to get it alone
[tex]\sqrt{24.98732606542757} = \sqrt{r^{2}}[/tex]
[tex]4.99873244587341 = r[/tex]
