To find the surface area of a right circular cylinder, you need to calculate the lateral surface area and the area of the two circular bases.
The lateral surface area of a cylinder can be calculated using the formula: Lateral surface area = 2Ï€rh, where r is the radius of the base and h is the height.
From the net diagram, we can see that the diameter of the circular base is 12 meters, so the radius is half of that: r = 12/2 = 6 meters.
Let's denote the height of the rectangle as h. The lateral surface area is 715.92 meters2, so we can set up the equation:
2Ï€(6)(h) = 715.92
12Ï€h = 715.92
h = 715.92 / (12Ï€)
h ≈ 18.75 meters
Therefore, the height of the right circular cylinder is approximately 18.75 meters.