How to Calculate the Volume of a Sphere: Step-by-Step Guide and Examples

Volume of a Sphere

V= 4/3 pi r^3

The volume of a sphere is given by the formula:

V = (4/3)πr^3

where V is the volume, π is the constant pi (approximately equal to 3.14159), and r is the radius of the sphere.

To find the volume of a sphere, follow these steps:

1. Measure the radius of the sphere in any unit (inches, centimeters, etc.)
2. Square the radius and multiply it by pi. (This gives you the surface area of the sphere.)
3. Multiply the surface area by 4/3 to find the volume.

As an example, let’s say we have a sphere with a radius of 5 inches. To find its volume, we can substitute r = 5 into the formula:

V = (4/3)π(5)^3
V = (4/3)π(125)
V = 523.6 cubic inches

Therefore, the volume of the sphere with radius 5 inches is 523.6 cubic inches.

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