To find the surface area of a cylinder, we need to find the area of the two circles (2Ï€r^2) and the area of the rectangle (2Ï€rh).
Given that the surface area is 395.64 feet^2, we can set up the equation:
395.64 = 2(3.14)(3)^2 + 2(3.14)(3)h
Simplify:
395.64 = 56.52 + 18.84h
Subtract 56.52 from both sides:
339.12 = 18.84h
Divide by 18.84:
h = 18 feet
Therefore, the height of the net diagram is 18 feet.