A cylinder with a radius of 3 cm and a height of 7 cm has a total surface area of

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Prepare for the NES Elementary Education Test with flashcards and multiple-choice questions. Each question comes with hints and explanations to enhance your learning. Get ready for your exam!

Multiple Choice

A cylinder with a radius of 3 cm and a height of 7 cm has a total surface area of

Explanation:
Total surface area of a cylinder is the sum of the areas of the two circular bases and the curved side. The bases contribute 2πr^2, and the side contributes 2πrh, so SA = 2πr^2 + 2πrh = 2πr(h + r). With r = 3 and h = 7: - bases: 2πr^2 = 2π(3^2) = 18π - side: 2πrh = 2π(3)(7) = 42π Total SA = 18π + 42π = 60π cm^2. So the total surface area is 60π square centimeters.

Total surface area of a cylinder is the sum of the areas of the two circular bases and the curved side. The bases contribute 2πr^2, and the side contributes 2πrh, so SA = 2πr^2 + 2πrh = 2πr(h + r).

With r = 3 and h = 7:

  • bases: 2πr^2 = 2π(3^2) = 18π

  • side: 2πrh = 2π(3)(7) = 42π

Total SA = 18π + 42π = 60π cm^2.

So the total surface area is 60π square centimeters.

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