Respuesta :

Answer:

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

Step-by-step explanation:

To solve an equation for one of its variables do that:

  1. Underline the variable
  2. Separate it one side and the other terms on the other side
  3. Make its coefficient equal to 1

Let us use these steps to solve our question

∵ V = πr²h

→ Underline r²

∴ V = πh

→ Take π and h to the other side by dividing both sides by πh

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

∴ [tex]\frac{V}{\pi h}=r^{2}[/tex]

→ The coefficient of r² is 1, so switch the two sides

∴ [tex]r^{2}=\frac{V}{\pi h}[/tex]