AQA · Mathematics · 8300
GCSE Maths: Volume: sphere
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Volume: sphere (Corbettmaths Video 361), 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 sphere?
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V = (4/3)πr³, where r is the radius.
What is the first step when finding the volume of a sphere given its diameter?
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Halve the diameter to get the radius, then use V = (4/3)πr³.
What is the volume of a sphere with radius 5 cm, to 1 decimal place?
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523.6 cm³ (V = (4/3)π × 5³).
What is the volume of a sphere with diameter 6 cm, in terms of π?
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36π cm³ (radius 3 cm, so (4/3)π × 27).
How do you find the radius of a sphere from its volume?
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Rearrange V = (4/3)πr³: r = ∛(3V ÷ 4π).
What is the formula for the volume of a hemisphere?
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V = (2/3)πr³ — half the volume of a sphere.
What is the volume of a hemisphere with radius 8 cm, in terms of π?
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(1024/3)π cm³, approximately 1072.3 cm³.
What fraction of a sphere's volume is a quarter-sphere?
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One quarter: V = (1/3)πr³.
How do you find how many small spheres can be cast from a melted cube?
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Divide the cube's volume by one sphere's volume and round down to a whole number.
How do you find the mass of a solid sphere given its density?
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Mass = density × volume, with volume from (4/3)πr³.
How many cm³ are in 1 litre?
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1000 cm³.
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