Well, let's use the formula for a cyinder to solve this.
$$V = \pi r^2h$$
Put in the Volume (V) in cm, because 1 mL = 1 cm
$$570.24\pi=\pi r^2h$$
$$\frac{570.24\pi}{\pi}=\frac{\pi r^2h}{\pi}$$
$$570.24 = r^2h$$
Put in the radius:
$$570.24 = 3.6^2h$$
$$570.24 = 12.96h$$
$$\frac{570.24}{12.96} = \frac{12.96h}{12.96}$$
$$\frac{570.24}{12.96} = h$$
$$44 = h$$
so:
$$h = 44$$
The height of the cylinder is 44 cm.