Use the image to answer the question.
An illustration shows a rectangle of unknown height with a circle of radius 3 feet attached to its top left and a circle of radius 3 feet attached to its bottom right.
If the surface area of the net diagram of the right circular cylinder is 395.64 feet2 , find the height of the net diagram. Use 3.14 for π .
(1 point)
feet
The surface area of a right circular cylinder is given by the formula:
Surface area = 2πrh + 2πr^2
In this case, since the radius of the circles attached to the rectangle is 3 feet, and the height of the rectangle is h, we can set up the equation as follows:
395.64 = 2(3.14)(h)(3) + 2(3.14)(3)^2
395.64 = 18.84h + 56.52
339.12 = 18.84h
h = 18
Therefore, the height of the net diagram is 18 feet.