A round cylinder is 10 cm diameter and 20 cm in length. It 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 round cylinder is 10 cm diameter and 20 cm in length. It has a total surface area of:

Explanation:
For a cylinder, total surface area comes from the two circular ends plus the curved side. Use the radius r = diameter/2 = 5 cm and height h = 20 cm. The two ends give 2πr^2 = 2π(5^2) = 50π cm^2. The curved side equals circumference times height: (2πr)h = (2π·5)·20 = 200π cm^2. Add them: 50π + 200π = 250π cm^2. This matches the option that states 250π cm^2. You can also see it as SA = 2πr(h + r) = 2π·5(20 + 5) = 250π.

For a cylinder, total surface area comes from the two circular ends plus the curved side. Use the radius r = diameter/2 = 5 cm and height h = 20 cm. The two ends give 2πr^2 = 2π(5^2) = 50π cm^2. The curved side equals circumference times height: (2πr)h = (2π·5)·20 = 200π cm^2. Add them: 50π + 200π = 250π cm^2. This matches the option that states 250π cm^2. You can also see it as SA = 2πr(h + r) = 2π·5(20 + 5) = 250π.

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