Volume of cylinders is a fundamental geometric concept that helps... Show more
Science (ACT®)97 views·Updated May 28, 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 May 28, 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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Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
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