Answered

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Solve the formula for the specified variable.

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

[tex]\[ r^2 = \square \][/tex]

Use "pi" for [tex]\(\pi\)[/tex]. Put a space after [tex]\(\pi\)[/tex] and before the variables.

Sagot :

GinnyAnswer
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.
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