A three-dimensional geometric shape, the sphere is completely round, like a ball. A sphere has a set of all points in space positioned at a fixed distance (known as a radius) from a single point that is the center of the sphere.
The following are the properties of a sphere:
Often used in geometry, spheres have many real-world applications. Some of the areas where spheres find application are, the construction of balls, the design of lenses, globes, and numerous optical equipment. You will also find mentions of spheres in physics, engineering, and many other fields.
The amount of space occupied by a sphere is the volume of a sphere. The volume of a sphere formula is:
V = (4/3)πr^3
where V is the volume of the sphere, π is the mathematical constant almost equivalent to 3.14159, and r is the sphere radius.
The distance from the center of the sphere to any point on the sphere's surface is called the radius of a sphere.
As an example:
Let us say, we have a sphere with a radius of 5. The sphere volume here would be:
V = (4/3)πr^3 = (4/3)(3.14159)(5^3) = 523.6 cubic units
Therefore, the volume of the sphere here is 523.6 cubic units.
Note: A sphere occupies a three-dimensional space, hence, the volume of a sphere is always measured in cubic units.
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