What is the volume formula for a right circular cylinder with radius r and height h?

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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

What is the volume formula for a right circular cylinder with radius r and height h?

Explanation:
Volume is found by multiplying the area of the base by the height. For a right circular cylinder, the base is a circle with area πr^2, and the height is h, so the volume is V = πr^2h. You can picture filling the cylinder with many thin discs; each disc has area πr^2 and thickness dh, and summing them up gives πr^2h. The other expressions correspond to different quantities: 2πrh is the side surface area, πr^2 is just the base area, and 4/3πr^3 is the volume of a sphere.

Volume is found by multiplying the area of the base by the height. For a right circular cylinder, the base is a circle with area πr^2, and the height is h, so the volume is V = πr^2h. You can picture filling the cylinder with many thin discs; each disc has area πr^2 and thickness dh, and summing them up gives πr^2h. The other expressions correspond to different quantities: 2πrh is the side surface area, πr^2 is just the base area, and 4/3πr^3 is the volume of a sphere.

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