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Basic Geometry

Basic Geometry

At a Glance - Volume of Spheres

To find the volume of a sphere, follow this simple formula (which took a brilliant ancient Greek mathematician named Archimedes years to derive):

Volume of a Sphere = 4/3π x radius cubed = 4/3πr3

Example 1

Sphere

The diameter of this sphere is 11.9 cm, so the radius is half of that, 5.95 cm.


Example 2

You cut an orange in half and measure the radius to be 1.5 in. What is the volume of the orange half?


Exercise 1

Find the volume of this sphere:

Sphere


Exercise 2

The circumference of the circular base of this half sphere is equal to 8π cm.What is its volume?

Half a sphere


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