Volume of cylinders is a fundamental geometric concept that helps...
Science (ACT®)97 views·Updated Jul 30, 2026·1 pageUnderstanding the Volume of Cylinders
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Josie Davis@josiedavis_vqsp
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Volume of Cylinders
The volume of any three-dimensional shape equals the area of its base multiplied by its height. For cylinders, the formula is V = Bh, where B is the base area and h is the height. Since the base of a cylinder is a circle with area πr², the complete formula becomes V = πr²h.
Let's see how this works in practice. If you have a cylinder with radius 3 inches and height 10 inches, you calculate the volume by plugging these values into the formula: V = π(3²)(10) = 282.7 in³. The answer is always expressed in cubic units, showing it's a volume measurement.
Similarly, for a cylinder with radius 3.2 cm and height 13 cm, the volume is V = π(3.2²)(13) = 418.2 cm³. Notice how we square the radius first, then multiply by height and π.
Quick Tip: When calculating cylinder volume, remember to use the radius (half the diameter) in your formula, not the diameter itself. Many mistakes happen when students use the wrong measurement!
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Science (ACT®)97 views·Updated Jul 30, 2026·1 pageUnderstanding the Volume of Cylinders
J
Josie Davis@josiedavis_vqsp
Volume of cylinders is a fundamental geometric concept that helps us calculate how much space a cylinder-shaped object can hold. Understanding this formula allows you to solve real-world problems involving containers, tanks, and cylindrical objects.
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Volume of Cylinders
The volume of any three-dimensional shape equals the area of its base multiplied by its height. For cylinders, the formula is V = Bh, where B is the base area and h is the height. Since the base of a cylinder is a circle with area πr², the complete formula becomes V = πr²h.
Let's see how this works in practice. If you have a cylinder with radius 3 inches and height 10 inches, you calculate the volume by plugging these values into the formula: V = π(3²)(10) = 282.7 in³. The answer is always expressed in cubic units, showing it's a volume measurement.
Similarly, for a cylinder with radius 3.2 cm and height 13 cm, the volume is V = π(3.2²)(13) = 418.2 cm³. Notice how we square the radius first, then multiply by height and π.
Quick Tip: When calculating cylinder volume, remember to use the radius (half the diameter) in your formula, not the diameter itself. Many mistakes happen when students use the wrong measurement!
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Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
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