SOLUTION: The height of a cylinder is twice the diameter. Express the total surface area A as a function of the height h. This question really stump me can you show the work as well for m

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Question 240524: The height of a cylinder is twice the diameter. Express the total surface area A as a function of the height h.
This question really stump me can you show the work as well for me?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"The height of a cylinder is twice the diameter" ___ h = 2d ___ h/2 = d ___ h/4 = r

A = LA + ends = [2 * pi * r * h] + [2 * pi * r^2] = [2 * pi * h/4 * h] + [2 * pi * (h/4)^2]

A = [2 * pi * (h^2 / 4)] (5 / 4) = 5/8 (pi * h^2)