The surface area of a cylinder is 314 square centimeters. The bottom radius of the cylinder is 4 / 1 of the height. What is the side area of the cylinder?

S=2∏R^2+2∏RH
=2∏R(R+H)
314=2∏×1/4H(1/4H+H)
314=2∏×1/4H(1/4H+H)
314=∏×5/8×H^2
H^2=160
The side area of cylinder is: 2 Π RH = 2 Π × 1 / 4 × H ^ 2 = 2 × 3.14 × 1 / 4 × 160 = 251.2 square centimeter

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