The surface area of a cylinder is 314 square centimeters. The bottom radius of the cylinder is three times the height. What is the side area of the cylinder?

Let H be the height, R be the radius and π be the circumference
2πr²+2πrh=314cm²
So: 2 π RH = 314-2 π R & # 178;
6πh²=314-18πh²
24πh²=314
πh²=157/12
So: 6 π H & # 178; = 78.5 = 2 π RH = lateral area

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