A cylindrical pipe 50cm long with radius 7m has one end open. What is the total surface area of the pipe?
Answer Details
To calculate the total surface area of the cylindrical pipe, we need to add the surface area of the curved part and the surface area of the two circular ends.
The surface area of the curved part can be calculated by multiplying the circumference of the circle (2πr) by the length of the pipe (50cm), which gives us:
2πr x h = 2π x 7m x 50cm = 7π m^2
The surface area of one circular end can be calculated by multiplying the area of the circle (πr^2) by 1, since one end of the pipe is open and has no surface area. Thus, the total surface area of both circular ends is:
2πr^2 = 2π x 7m^2 = 14π m^2
Finally, we add the surface area of the curved part and the surface area of the two circular ends to get the total surface area of the pipe:
7π m^2 + 14π m^2 = 21π m^2
Therefore, the total surface area of the pipe is 21π square meters. The closest option to this answer is 749π, but it is not the correct answer.