7) Volume of cylinder: $$ V=\pi r^{2} \cdot h $$, for $$ h $$

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To solve the formula for the height $$ h $$ of a cylinder given the volume $$ V $$ and radius $$ r $$, follow these steps:

**Given Formula:**
$$
V = \pi r^{2} \cdot h
$$

**Solving for $$ h $$:**

1. **Isolate $$ h $$ on one side of the equation.**
   
   To do this, divide both sides of the equation by $$ \pi r^{2} $$:
   $$
   \frac{V}{\pi r^{2}} = h
   $$

2. **Rearranged Formula:**
   $$
   h = \frac{V}{\pi r^{2}}
   $$

**Final Formula for Height $$ h $$:**
$$
h = \frac{V}{\pi r^{2}}
$$

**Example Calculation:**

Suppose you have a cylinder with a volume of $$ 50 $$ cubic units and a radius of $$ 3 $$ units. To find the height $$ h $$:

$$
h = \frac{V}{\pi r^{2}} = \frac{50}{\pi (3)^{2}} = \frac{50}{9\pi} \approx \frac{50}{28.274} \approx 1.767 \text{ units}
$$

So, the height $$ h $$ is approximately $$ 1.767 $$ units.
To find the height $$ h $$ of a cylinder, use the formula: $$ h = \frac{V}{\pi r^{2}} $$ Where $$ V $$ is the volume and $$ r $$ is the radius.

7) Volume of cylinder: \( V=\pi r^{2} \cdot h \), for \( h \)

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