Volume of Spheres Flashcards

GCSE Mathematics (Edexcel) 1MA1

Volume of a sphere formula

The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius.

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Terms in this set (10)

1

Volume of a sphere formula

The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius.

2

What does 'r' represent in the sphere volume formula?

'r' represents the radius of the sphere.

3

Unit of volume for spheres

The volume of a sphere is measured in cubic units, such as cm³ or m³.

4

How to find the radius from the diameter

The radius is half the diameter. r = diameter ÷ 2.

5

Effect of doubling the radius on volume

If the radius is doubled, the volume increases by a factor of 2³ = 8.

6

Volume of a hemisphere

The volume of a hemisphere is half the volume of a sphere: V = (2/3)πr³.

7

Key constant in the sphere volume formula

The constant π (pi) is approximately 3.14159, or 3.14 for estimation.

8

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.

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Volume of a sphere with radius 1 unit

The volume is V = (4/3)π(1³) = 4/3π cubic units.

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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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