Volume of a sphere

Given the radius, the volume of a sphere can be found by using the following formula:
Sphere with radius r
V = (4/3) × π × r3 and you can use π = 3.14

Some examples showing how to get the volume of a sphere


Example #1

Find the volume of a sphere that has a radius of 2 inches

Volume of the sphere = 4/3 × π × r3

Volume of the sphere = 4/3 × 3.14 × 23

Volume of the sphere = 4/3 × 3.14 × 8

Volume of the sphere = 4/3 × 25.12

Volume of the sphere = 4/3 × 25.12/1

Volume of the sphere = (4 × 25.12)/(3 × 1)

Volume of the sphere = (100.48)/3

Volume of the sphere = 33.49 inches3


Example #2

Find the volume of a sphere with a radius of 3 cm

Volume of the sphere = 4/3 × π × r3

Volume of the sphere = 4/3 × 3.14 × 33

Volume of the sphere = 4/3 × 3.14 × 27

Volume of the sphere = 4/3 × 84.78

Volume of the sphere = 4/3 × 84.78/1

Volume of the sphere = (4 × 84.78)/(3 × 1)

Volume of the sphere = (339.12)/3

Volume of the sphere = 113.04 cm3


Example #3

Find the volume of a sphere that has a radius of 2/3 cm

Volume of the sphere = 4/3 × π × r3

Volume of the sphere = 4/3 × 3.14 × (2/3)3

Volume of the sphere = 4/3 × 3.14 × 2/3 ×2/3 × 2/3

Volume of the sphere = 4/3 × 3.14 × 8/27

Volume of the sphere = 4/3 × 3.14/1 × 8/27

Volume of the sphere = (4 × 3.14 × 8) / ( 3 × 1 × 27 )

Volume of the sphere = (100.48)/(81)

Volume of the sphere = 1.24 inches3

What is the volume of the earth?

The earth is a sphere with a radius of 6356 kilometers or 3958.8 miles. What is the volume of the earth in cubic miles?

Volume of the earth = 4/3 × π × 3958.83

Volume of the earth = 4/3 × 3.14 × 3958.8 ×3958.8 × 3958.8

Volume of the earth = 4/3 × 3.14 × 62042699345.5

Volume of the earth = 4/3 × 194814075945

Volume of the earth = 4/3 × 194814075945/1

Volume of the earth = (4 × 194814075945)/(3 × 1)

Volume of the earth = (779256303779)/(3)

Volume of the earth = 259,752,101,260 cubic miles

The earth has approximately a volume of 260 billion cubic miles.

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