Use the image to answer the question.
An illustration shows a horizontal rectangle of unknown height (in meters) with a circle of diameter 12 meters attached to its top left and a circle of diameter 12 meters attached to its bottom right.
If the surface area of the net diagram of the right circular cylinder is 715.92 meters2 , find the height. Use 3.14 for π .
(1 point)
Responses
42 meters
42 meters
6.5 meters
6.5 meters
13 meters
13 meters
16 meters
In a right circular cylinder, the surface area formula is given by:
Surface Area = 2 * π * r * (r + h)
Given that the surface area is 715.92 meters^2, and the diameter of the circle is 12 meters, the radius would be half of that, which is 6 meters.
So, we have:
715.92 = 2 * 3.14 * 6 * (6 + h)
715.92 = 37.68 + 12.56h
678.24 = 12.56h
h ≈ 54 meters
Therefore, the height of the right circular cylinder is approximately 54 meters.