Use the image to answer the question.
An illustration shows a horizontal rectangle of unknown height (in feet) with a circle of diameter 9 feet attached to its top left and a circle of diameter 9 feet attached to its bottom right.
The surface area of the net diagram of the right circular cylinder is 522.81 feet2 . Find the height of the curved surface. Use 3.14 for π .
(1 point)
feet
First, we need to calculate the radius of the cylinders. Since the diameter of the circles is 9 feet, the radius is half of that, which is 4.5 feet.
The curved surface area of a right circular cylinder is calculated using the formula 2πrh, where r is the radius and h is the height.
Given that the surface area is 522.81 feet^2, we have:
2 * 3.14 * 4.5 * h = 522.81
28.26 * h = 522.81
h = 18.5
Therefore, the height of the curved surface is 18.5 feet.