Using the formula V = πr2h, you can substitute the given values for the corresponding variable. In this case, you would plug in 12cm for the height and 1846.32 for the volume, giving you 1846.32 = πr2(12). At this point, your goal is to isolate r (radius) to find the answer. First, you would divide both sides by 12 to cancel it out, giving you 153.86 = πr2. Then, you would divide both sides by π to cancel that out, giving you 48.97516 = r2. Lastly, you would take the square root of both sides in order to get r by itself, giving you r ≈ 6.99823, which is your answer.
In order to check your work, you can plug r back into the equation with h to see if it gives you the given volume. In this case, the formula would be π(6.99823)2(12), which gives you about 1846.23, the same number given in the prompt. Therefore, we know our answer is correct.