Considering the equation for the surface area of a cylinder, we have that the heights are given as follows:
The surface area of a cylinder of radius r and height h is given by the following equation:
S = 2πr(r + h).
In this problem, we have that:
They have the same surface areas, hence:
12π(6 + h - 5.5) = 8π(4 + h)
12(0.5 + h) = 32 + 8h
6 + 12h = 32 + 8h
4h = 26
h = 6.5.
Hence the heights are given as follows:
More can be learned about the surface area of a cylinder at https://brainly.com/question/26702574
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