Volume of a sphere
The volume of a sphere is given by the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere
The volume of a sphere is given by the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere. This formula is derived by dividing the sphere into infinitesimally small cones and integrating their volumes.
To calculate the volume, follow these steps:
1. Determine the radius of the sphere.
2. Cube the radius (r^3).
3. Multiply the cubed radius by the constant 4/3.
4. Multiply the result by the value of π (pi).
5. Round the final answer, if necessary, according to the desired level of precision.
For example, let’s find the volume of a sphere with a radius of 5 units:
V = (4/3)π(5^3)
= (4/3)π(125)
= (4/3)(3.14159)(125)
≈ 523.6 cubic units.
So the volume of the sphere with a radius of 5 units is approximately 523.6 cubic units.
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