Volume of a sphere
Given the radius, the volume of a sphere can be found by using the following formula:
V = (4/3) × π × r
^{3} 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 × r
^{3}
Volume of the sphere = 4/3 × 3.14 × 2
^{3}
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 inches
^{3}
Example #2
Find the volume of a sphere with a radius of 3 cm
Volume of the sphere = 4/3 × π × r
^{3}
Volume of the sphere = 4/3 × 3.14 × 3
^{3}
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 cm
^{3}
Example #3
Find the volume of a sphere that has a radius of 2/3 cm
Volume of the sphere = 4/3 × π × r
^{3}
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 inches
^{3}
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 × 3958.8
^{3}
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.

Apr 02, 20 12:05 PM
Find out how to become an operations research analyst if you have a math major.
Read More
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.