Officer Aptitude Rating (OAR) Formulas Practice Test

A cylinder has radius 3 units and height 7 units. What is its lateral surface area?

28π 14π 42π 36π

Correct Answer:

42π

Explanation:

Lateral surface area is found by unwrapping the curved side of the cylinder into a rectangle, so it equals the base circumference times the height. The base circumference is 2πr, and with radius 3 that’s 2π(3) = 6π. Multiply by the height 7 to get 6π × 7 = 42π. So the lateral surface area is 42π square units. (This only covers the curved side, not the top and bottom faces; those would add 2πr^2 = 18π for a total surface area of 60π.)

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