Respuesta :

xKelvin

Answer:

B

Step-by-step explanation:

We have the equation:

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

And we want to solve it for r.

We can first divide both sides by π and h. This will cancel out the right-hand side:

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

Now, we can take the principal square root of both sides. Hence:

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

And we're done!

Thus, our answer is B.

Sarah06109

Answer:

B. [tex]r=\sqrt{\frac{v}{\pi h}[/tex]

Step-by-step explanation:

We are given the formula:

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

and asked to solve for [tex]r[/tex]. Therefore, we must isolate [tex]r[/tex] on one side of the equation.

[tex]\pi[/tex] and [tex]h[/tex] are both being multiplied by r². The inverse of multiplication is division. Divide both sides of the equation by [tex]\pi h[/tex].

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

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

r is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

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

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

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

Therefore, the correct answer is B. [tex]r=\sqrt{\frac{v}{\pi h}[/tex]

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