Certainly! Let's start with the given formula:
[tex]\[ V = \pi r^2 h \][/tex]
We need to solve for [tex]\( r^2 \)[/tex].
Here's the step-by-step process:
1. Start with the equation:
[tex]\[ V = \pi r^2 h \][/tex]
2. To isolate [tex]\( r^2 \)[/tex], divide both sides of the equation by [tex]\( \pi h \)[/tex]:
[tex]\[ \frac{V}{\pi h} = \frac{\pi r^2 h}{\pi h} \][/tex]
3. Simplifying the right side, the [tex]\(\pi\)[/tex]s and [tex]\( h\)[/tex] cancel out, leaving us with:
[tex]\[ \frac{V}{\pi h} = r^2 \][/tex]
So, the formula for [tex]\( r^2 \)[/tex] is:
[tex]\[ r^2 = \frac{V}{\pi h} \][/tex]
This completes our solution.
