Respuesta :

Answer:

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

Step-by-step explanation:

[tex]V = \frac{1}{3}\pi r^2h\\3V = \pi r^2h\\\frac{3V}{\pi*h} = r^2\\\sqrt{\frac{3V}{\pi*h}} = r[/tex]

Answer:

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

Step-by-step explanation:

v = 1/3 pi r^2 h

multiply both sides by 3

3v = pi r^2 h

dived both sides by pi h

3v/pi h = r^2

take sqrt of both sides

+/- sqrt( 3v/pi h) = r