Respuesta :

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

Explanation

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

Step 1

multiply each side by 3

[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V\cdot3=\frac{1}{3}\pi r^2h\cdot3 \\ 3V=\pi r^2h \end{gathered}[/tex]

Step 2

divide both sides by

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

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