A heating element has a power rating of 1850 W and is connected to a 220 V supply. Calculate the energy dissipated in 3 minutes, the current through the element, and its resistance.

$$
t = 3\, \text{min} \times \frac{60\, \text{s}}{1\, \text{min}} = 180\, \text{s}
$$

$$
E = 1850\, \text{W} \times 180\, \text{s}
$$
$$
E = 333000\, \text{J}
$$
The energy dissipated is $\boxed{\text{333000 J}}$.

$$
I = \frac{1850\, \text{W}}{220\, \text{V}}
$$
$$
I \approx 8.409\, \text{A}
$$
The current through the element is approximately $\boxed{\text{8.41 A}}$.

$$
R = \frac{(220\, \text{V})^2}{1850\, \text{W}}
$$
$$
R = \frac{48400\, \text{V}^2}{1850\, \text{W}}
$$
$$
R \approx 26.162\, \Omega
$$
The resistance of the element is approximately $\boxed{\text{26.16 } \Omega}$.