Help with my math homework (literal equations)?

Question

I know that for literal equations you have to use the SADMEP order, but I'm stuck on a problem because of it.

The problem is V= π r^2 h, and I'm supposed to be solving for h. I've followed SADMEP and gotten to the point where I have V over π = r^2 h. With V over π being a fraction, the next step I should take would be to divide r^2 h by r^2, right? But that would make the equation to the right of the = sign into a fraction with a fraction inside of it. Can you even HAVE a fraction inside of a fraction?

Assuming that I did the part above wrong, then I would square root r^2 h, I think. But even if I did that, I would still have to put a fraction inside of a fraction when I divide to isolate the h variable. I've been running in circles on this problem for almost a half hour now, and any help would be greatly appreciated.

Answer 1

this is the volume of a cylinder



if you want h, =V/pi*r^2

Answer 2

V=πr^2h



You only need division here. When you divide the right side by r^2 (what you did so far is right), you're left with only h. On the left side, meanwhile, you simply put r^2 as part of the denominator with π. Think of it this way, if you had actual values and h as a variable, you would multiply r^2 and π, then divide the volume to get h. It's the same concept here, except you have all variables.



V/(πr^2)=h

Answer 3

I'm not entirely sure what you're asking, but i can tell you that in this case h = V / (π r^2).

Are you only solving for h with variables? Or are you actually given specific values?