
Volume of Sphere Demonstration
thingiverse
The height and base radius of this cylinder are designed to be identical, so we can calculate the volume. The formula for the volume is pi times the square of the radius times the radius. Multiplying these three values together, we get the formula pi r cubed. If we create four such cylinders, their total volume will be 4 times pi r cubed. Now let's imagine we have a sphere with the same base radius as this cylinder. We can print 3 of these spheres with no infill so that water can fill them up. The amount of water poured out from these 3 spheres should match the total volume of the four cylinders, which is pi r cubed times 4. The formula for the volume of each sphere is therefore 4 divided by 3, then multiplied by pi and finally raised to the power of 3.
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