Final answer:
To find the depth of the well, we need to calculate the length of the rope wound on the cylindrical drum. However, without the length of the bucket, we cannot determine the depth of the well.
Step-by-step explanation:
To find the depth of the well, we need to calculate the length of the rope that is wound on the cylindrical drum when pulling up the bucket. The circumference of the drum can be found using the formula C = π * d, where d is the diameter of the drum. In this case, the diameter is 15 cm, so the circumference is 15 cm * π. Since it takes 28 turns of the drum to pull up the bucket, the length of the rope wound on the drum is 28 times the circumference. Therefore, the total length of the rope is 28 * 15 cm * π.
Now, we can calculate the depth of the well. The length of the rope is equal to the depth of the well plus the length of the bucket. Let's say the length of the bucket is b cm. So the depth of the well can be written as 28 * 15 cm * π = depth + b. We need to find the depth, so we can rearrange the equation to depth = 28 * 15 cm * π - b cm.
However, we don't have the value for the length of the bucket, so we cannot solve this equation completely. We would need additional information or assumptions to determine the depth of the well.