Well, let's dive into this problem! If we imagine the drum as a big cup, we can start by finding the volume of the cup (drum). We know that the diameter of the drum is 40 cm, which means the radius is 20 cm (because radius = diameter/2).
Next, we can use the formula for the volume of a cylinder, which is πr²h, where π is approximately 3.14, r is the radius, and h is the height (or depth) of the oil.
We're given that the drum contains 88 liters of oil, so we need to convert that to cubic centimeters (cm³). Since 1 liter is equal to 1000 cm³, the drum holds 88,000 cm³ of oil.
Plugging these values into the formula, we can solve for h:
88,000 = 3.14 * 20² * h
Now, let's take the stage and solve for h:
h = 88,000 / (3.14 * 400)
After the act of calculations, we find that h is approximately 70.52 cm. So, the depth of the oil in the drum is approximately 70.52 cm.
Remember, though, this is just a theoretical calculation. In reality, the depth of the oil might differ slightly due to factors such as the shape of the drum and how the oil is distributed. But hey, at least we had a laugh along the way, right?