To solve the equation [tex]\( V = \pi r^2 h \)[/tex] for [tex]\( r \)[/tex], we need to isolate [tex]\( r \)[/tex] on one side of the equation. Let's go through the steps in detail:
1. Start with the original equation:
[tex]\[
V = \pi r^2 h
\][/tex]
2. Divide both sides of the equation by [tex]\( \pi h \)[/tex] to isolate [tex]\( r^2 \)[/tex] on one side:
[tex]\[
\frac{V}{\pi h} = r^2
\][/tex]
3. To solve for [tex]\( r \)[/tex], take the square root of both sides of the equation:
[tex]\[
r = \sqrt{\frac{V}{\pi h}}
\][/tex]
Thus, the correct equation that solves for [tex]\( r \)[/tex] is:
[tex]\[
r = \sqrt{\frac{V}{\pi h}}
\][/tex]
So, the correct answer is:
A. [tex]\( r=\sqrt{\frac{V}{\pi h}} \)[/tex]
