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Volume of Spheres Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Volume of a sphere formula
The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius.
What does 'r' represent in the sphere volume formula?
'r' represents the radius of the sphere.
Unit of volume for spheres
The volume of a sphere is measured in cubic units, such as cm³ or m³.
How to find the radius from the diameter
The radius is half the diameter. r = diameter ÷ 2.
Effect of doubling the radius on volume
If the radius is doubled, the volume increases by a factor of 2³ = 8.
Volume of a hemisphere
The volume of a hemisphere is half the volume of a sphere: V = (2/3)πr³.
Key constant in the sphere volume formula
The constant π (pi) is approximately 3.14159, or 3.14 for estimation.
Steps to calculate the volume of a sphere
1. Find the radius. 2. Cube the radius (r³). 3. Multiply by π. 4. Multiply by 4/3.
Volume of a sphere with radius 1 unit
The volume is V = (4/3)π(1³) = 4/3π cubic units.
Real-life example of sphere volume
The volume formula can be used to calculate the capacity of spherical objects, like a ball or a water droplet.

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