What is the formula for the volume of a cylinder?

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Prepare for CSET Multiple Subjects Subtest 2 in Math and Science. Study with flashcards and multiple choice questions, each question includes hints and explanations. Get ready for your exam!

Multiple Choice

What is the formula for the volume of a cylinder?

Explanation:
To find the volume of a cylinder, you multiply the area of the circular base by its height. The base is a circle with area πr^2, so the volume is πr^2h. The other expressions don’t match this idea: 2πrh corresponds to the lateral surface area (the side), not volume. Using diameter in place of radius gives πd^2h, which equals four times the correct volume since d = 2r. And 2rh has units of area, not volume, so it cannot represent the cylinder’s volume.

To find the volume of a cylinder, you multiply the area of the circular base by its height. The base is a circle with area πr^2, so the volume is πr^2h. The other expressions don’t match this idea: 2πrh corresponds to the lateral surface area (the side), not volume. Using diameter in place of radius gives πd^2h, which equals four times the correct volume since d = 2r. And 2rh has units of area, not volume, so it cannot represent the cylinder’s volume.

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