It looks like you're working on a problem involving the volume of a hot water tank in the shape of a cylinder. The problem is asking to find the height (h) of the cylinder given the volume and radius, with the volume provided in liters. Let's go over the details:

Step-by-Step Breakdown:

1. Volume Formula for a Cylinder: The volume of a cylinder is given by the formula: $V = \pi r^2 h$ Where:

   • $V$ is the volume of the cylinder
   • $r$ is the radius of the base
   • $h$ is the height of the cylinder

2. Given Information:

   • Volume $V = 300 \, \text{liters}$
   • Radius $r = 1.5 \, \text{m}$ (from the diagram)
   • Note that $1 \, \text{m}^3 = 1000 \, \text{liters}$, so: $300 \, \text{liters} = 0.3 \, \text{m}^3$

3. Plug the values into the volume formula: $0.3 = \pi (1.5)^2 h$ Simplify the equation: $0.3 = \pi (2.25) h$ $0.3 = 2.25 \pi h$

4. Solve for $h$: $h = \frac{0.3}{2.25 \pi}$ Now, calculate the value of $h$.

Let me know if you'd like me to complete the calculation for you or if you have further questions about this!