Respuesta :

altavistard

v = 4π r²h is to be solved for r.


Divide both sides of this equation by 4π*h:


     v

--------- = r^2

   4π*h


Next, take the positive square root of both sides:


              v

r = √[----------- ]

           4π*h


You may leave this result as is, or proceed further:  Taking the + square root of 4 results in:

                      v

r = (1/2)√[----------- ]

                    π*h


konrad509

[tex] V=4\pi r^2h\\\\
r^2=\dfrac{V}{4\pi h }\\\\
r=\sqrt{\dfrac{V}{4\pi h }}\\\\
r=\dfrac{\sqrt V}{\sqrt{4\pi h} }\\\\
r=\dfrac{\sqrt V}{2\sqrt{\pi h} }\\\\
r=\dfrac{\sqrt {\pi h V}}{2}



[/tex]

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