Surface Area of a Cylinder - Free Printable

Educational worksheet: Surface Area of a Cylinder. Download and print for classroom or home learning activities.

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- Problem 1: The hockey puck is a closed cylinder. Diameter = 3 inches, so radius = 1.5 inches. Height = 1 inch. Surface area = 2πr(r + h) = 2π(1.5)(1.5 + 1) = 2π(1.5)(2.5) = 7.5π ≈ 23.6 in².
- Problem 2: The cardboard tube is an open cylinder (lateral surface only). Diameter = 4 cm, so radius = 2 cm. Height = 12 cm. Surface area = 2πrh = 2π(2)(12) = 48π ≈ 150.8 cm².
- Problem 3: The plant pot is an open-top cylinder. Diameter = 12 inches, so radius = 6 inches. Height = 17 inches. Surface area = πr(r + 2h) = π(6)(6 + 2×17) = π(6)(40) = 240π ≈ 754.0 in².
- Problem 4: The plastic pipe is an open cylinder. Diameter = 14 cm, so radius = 7 cm. Length = 3 m = 300 cm. Surface area = 2πrh = 2π(7)(300) = 4200π ≈ 13194.7 cm².

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