Respuesta :

Answer:

Step-by-step explanation:

Let's baby-step this to make it easy, ok? Begin by getting rid of all the fractions, which means we will eliminate the 3 from the 1/3 by multiplying both sides be 3:

[tex]3V=\pi r^2 h[/tex]

If we want to eventually isolate the r, we need to move the h and the pi. Do this by division, since each of these is multiplied by r-squared. Doing that gives us:

[tex]\frac{3V}{\pi h}=r^2[/tex]

Lastly, to undo a square, we have to take the square root. We will do that for both sides of the equals sign:

[tex]+\sqrt{\frac{3V}{\pi h} }=r[/tex]

The positive is out front there to indicate that we don't want the negative value since distance is a measure that will never be negative.