To find the length of the steel band, we need to calculate the circumference of each drum and add them together.
The formula for the circumference of a circle is:
C = 2Ï€r
Given that the radius of each drum is 2 feet, we can plug in this value into the formula to find the circumference of one drum:
C1 = 2Ï€(2)
C1 = 4Ï€
Since there are three drums, we need to calculate the total length of all three drums:
Total Length = C1 + C2 + C3
Since all three drums are in a triangular shape, the two bottom drums are adjacent to each other, meaning their circumferences will be in contact. So, for the bottom drums, we need to subtract the overlapping circumference once.
The total length of the steel band can be calculated as follows:
Total Length = C1 + 2C2 - 2Ï€(2)
Let's now substitute in the values to calculate the total length of the steel band:
Total Length = 4Ï€ + 2(2Ï€) - 2Ï€(2)
Total Length = 4Ï€ + 4Ï€ - 4Ï€
Total Length = 4Ï€
Therefore, the length of the steel band is 4Ï€ feet.