Respuesta :

Answer:

Radius = 8.995

Step-by-step explanation:

The Volume formula for a cylinder is:

V= π[tex]r^{2}[/tex]h

v= volume [tex]r^{2}[/tex]= radius h= height

Since we know everything but the radius, we can use this equation to find it!

First, you need to plug in the values that you have:

282.6= π[tex]r^{2}[/tex](10)

Next, put the height value and pi together

282.6= (10π)[tex]r^{2}[/tex]

Then, you divide the volume by 10π to make sure that the radius is by itself on one side.

[tex]\frac{282.6}{10\pi }[/tex] = [tex]r^{2}[/tex]

Now plug it into your calculator to get:

8.995= [tex]r^{2}[/tex]

And that's your answer!!