AQA · Mathematics · 8300
GCSE Maths: Volume: cylinder
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Volume: cylinder (Corbettmaths Video 357), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is the formula for the volume of a cylinder?
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V = πr²h, where r is the radius and h is the height.
In the volume formula V = πr²h for a cylinder, the variable r represents the ?.
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radius
In the volume formula V = πr²h for a cylinder, the variable h represents the ?.
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height
If a cylinder has diameter d, what radius should be used in the volume formula V = πr²h?
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r = d/2 (radius is half the diameter).
How many cubic centimeters are in 1 litre?
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1000 cm³
What does the formula mass = density × volume calculate?
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The mass of an object, given its density and volume.
If you know the volume and height of a cylinder, how do you find the radius?
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Rearrange V = πr²h to get r² = V/(πh), then take the square root: r = √(V/(πh)).
If you know the volume and radius of a cylinder, how do you find the height?
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Rearrange V = πr²h to get h = V/(πr²).
What does it mean to express a cylinder's volume 'in terms of π'?
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Leave π as a symbol in the answer rather than using its decimal approximation (e.g., 20π cm³ instead of 62.8 cm³).
What is the formula for the volume of a sphere of radius r?
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V = (4/3)πr³
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