Sphere volume calculator

From ancient times, people needed to measure the amount of various substances. Bulk substances and liquids could be measured by filling them with vessels of a certain capacity, determining their quantity by volume. The concept of volume in solid geometry is introduced similarly to the concept of area in plane geometry. In plane geometry, we determined the area like this: the area of ​​a polygon is the value of the part of the plane that the polygon occupies. To formulate the concept of volume similarly to this concept. The magnitude of the part of the space occupied by the geometric body is called the volume of this body. Volume is measured in "cubic" units.

Sphere — a closed surface, all points of which are equally distant from one point (the center of the sphere). A segment connecting the center of a sphere with any point of it (as well as its length) is called the radius of the sphere.

A sphere is a three-dimensional shape that is perfectly round. It is defined as the set of all points in three-dimensional space that are located at a fixed distance from a given point, called the center. The volume of a sphere is the amount of space that it occupies and can be calculated using the following formula:

V = (4/3)πr³

Where V is the volume and r is the radius of the sphere.

How to Use the Sphere Volume Calculator

Using our sphere volume calculator is easy! Simply enter the radius of the sphere in the box provided and our calculator will automatically give you the volume of the sphere.

Sphere Volume Formula

The formula for finding the volume of a sphere is:

V = \dfrac{4}{3}\pi R^3

Where V is the volume and R is the radius of the sphere.

Example

Let's say you have a sphere with a radius of 5 cm. To find the volume of the sphere, simply enter 5 in the box provided and our calculator will give you the answer:

V = \dfrac{4}{3}\pi 5^3 = 523.6 cm^3

Sphere Volume Examples

Here are some examples of finding the volume of a sphere using our calculator and the formula:

Example 1

Find the volume of a sphere with a radius of 8 cm.

Using the formula:

V = \dfrac{4}{3}\pi 8^3 = 2144.7 cm^3

Using our calculator:

Enter 8 in the box provided and our calculator will give you the answer.

Volume = 2144.7 cm³

Example 2

Find the volume of a sphere with a radius of 2.5 cm.

Using the formula:

V = \dfrac{4}{3}\pi 2.5^3 ≈ 65.4 cm^3

Using our calculator:

Enter 2.5 in the box provided and that's all.

Volume = 65.4 cm³

Conclusion

Calculating the volume of a sphere is an important skill in geometry. Our sphere volume calculator and formula make it easy to find the volume of your sphere. Try it out for yourself and see how easy it can be!