The surface area of the net diagram of the right circular cylinder is 522.81 feet?. Find the height of the curved surface. Use 3.14 for .
the circles have a diameter of 9 each
To find the height of the curved surface of the cylinder, we first need to calculate the lateral surface area of the cylinder using the given information.
The lateral surface area of a right circular cylinder is given by the formula:
Lateral Surface Area = 2πrh
where r is the radius of the base of the cylinder and h is the height of the cylinder.
Given that the diameter of the base circles is 9 feet, the radius would be half of that, so r = 9/2 = 4.5 feet.
Let's substitute the values into the formula:
522.81 = 2 * 3.14 * 4.5 * h
522.81 = 28.26h
h = 522.81 / 28.26
h ≈ 18.46
Therefore, the height of the curved surface of the cylinder is approximately 18.46 feet.