The equation in the image is:
$V = \frac{1}{3} \pi r^2 h$
You are tasked with solving for $h$.

Step-by-step solution:

1. Start with the equation: $V = \frac{1}{3} \pi r^2 h$

2. Eliminate the fraction by multiplying both sides by 3: $3V = \pi r^2 h$

3. Solve for $h$ by dividing both sides by $\pi r^2$: $h = \frac{3V}{\pi r^2}$

Final Answer:

$h = \frac{3V}{\pi r^2}$

Let me know if you'd like further explanation or examples related to this problem!

Here are 5 questions to deepen your understanding:

1. What is the formula for the volume of a cone and how does it relate to this problem?
2. If $r$ and $V$ are given, how would you compute $h$ step by step?
3. Why is it necessary to multiply by 3 in the first step of solving for $h$?
4. What happens to $h$ if $r$ doubles in value? Explore the relationship between $r$ and $h$.
5. Can this formula be used to calculate $h$ for shapes other than a cone? Why or why not?

Tip: Always ensure you properly isolate the variable you're solving for by carefully following algebraic rules step by step!