The surface area of a cylinder with radius r and height h is which expression?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

The surface area of a cylinder with radius r and height h is which expression?

Explanation:
Surface area of a cylinder comes from the curved side plus the two circular ends. The curved side becomes a rectangle when unrolled, with height h and width equal to the base circumference 2πr, so that area is 2πrh. The two bases together have area 2πr^2. Adding them gives the total surface area: 2πrh + 2πr^2. The other expressions miss a piece or mix in something from a different shape: 2πrh only accounts for the side, πr^2 is only one base, and 4πr^2 is the surface area of a sphere, not a cylinder.

Surface area of a cylinder comes from the curved side plus the two circular ends. The curved side becomes a rectangle when unrolled, with height h and width equal to the base circumference 2πr, so that area is 2πrh. The two bases together have area 2πr^2. Adding them gives the total surface area: 2πrh + 2πr^2. The other expressions miss a piece or mix in something from a different shape: 2πrh only accounts for the side, πr^2 is only one base, and 4πr^2 is the surface area of a sphere, not a cylinder.

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