A plumber has a metal pipe with a surface area of 221.37 ft.2 . Which cylinder could represent this pipe? Use 3.14 to represent π .(1 point)
To find the cylinder that could represent the plumber's pipe, we need to use the formula for the surface area of a cylinder:
Surface Area = 2πrh + 2πr^2
We are given that the surface area of the pipe is 221.37 ft^2. We can set up the equation as follows:
221.37 = 2(3.14)r(h) + 2(3.14)r^2
Since we are looking for a cylinder to represent the pipe, we assume the height (h) is equal to the length of the pipe. We can choose any reasonable value for r (radius) and solve for h:
Let's try r = 3 ft
221.37 = 2(3.14)(3)h + 2(3.14)(3)^2
221.37 = 18.84h + 56.52
164.85 = 18.84h
h = 8.74 ft
Therefore, the cylinder that could represent the plumber's pipe has a radius of 3 ft and a height of 8.74 ft.