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How can I find the radius of a cylinder given the volume and height ?

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The formula of a cylinder is as follows:

V = πr²h

(I'm going to use random numbers to help explain)

Volume = 401.92

Height = 8

So if you were to rewrite the equation it would be:

401.92 = π×r²×8

From here you can divide the height by the volume:

50.24 = π×r²

If they do not tell you to put it in terms of pi (π) then divide by 3.14 or whatever value they give you:

16 = r²

Then from here do the √ (square root) of 16

4 = r

And that is how you can find the radius.

Hope this helps!

User Laprof
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