Volume of a Sphere
Volume calculator for a sphere
Description, how many faces, edges and vertices are there in a sphere
The sphere has a perfectly symmetrical shape, has only one curved face, no edges nor vertices and from any point on the surface to the center you get exactly the same length, in other words the radii is the same from anywhere on the surface.
Examples of a sphere
We can find many objects that look like a sphere, examples of sphere shaped objects are: soccer and other sports balls, marbles, bowling balls and in nature bubbles or drops of water. Can you think of any other examples? leave a comment in the comment section at the bottom of the page.
Formula for the volume of a sphere
In order to calculate the volume of a sphere the only data needed is the radius, since the symbol π is Pi and is a constant equivalent to ~ 3.14. You can also use the online calculator to automatically get the volume of the sphere .
Surface area of a sphere
The surface area of a sphere is found by multiplying 4 by π (~3.14) by the radius squared. For example, a sphere with a radius of 5 cm has an area of 4×π×5² ≈ 314.2 cm².
Worked example: volume of a sphere
Consider a sphere with a radius of 5 cm. We apply the volume formula:
V = (4 × π × radius³) ÷ 3
V = (4 × 3.1416 × 5³) ÷ 3 = (4 × 3.1416 × 125) ÷ 3
V = 1,570.8 ÷ 3 ≈ 523.6 cm³
That sphere holds about 523.6 cubic centimeters, roughly 0.52 liters.
Frequently asked questions about the volume of a sphere
What is the formula for the volume of a sphere?
The formula is V = 4πr³ ÷ 3, where r is the radius of the sphere and π (Pi) is a constant that equals approximately 3.1416.
How do you calculate the volume of a sphere step by step?
Cube the radius (radius × radius × radius), multiply the result by 4 and by π, and finally divide by 3. For example, a sphere with a radius of 5 cm has a volume of ≈ 523.6 cm³.
What is the surface area of a sphere?
It is calculated with A = 4πr². For a sphere with a radius of 5 cm, the area is 4×π×5² ≈ 314.2 cm².
How many faces, edges and vertices does a sphere have?
A sphere has one single curved face and no edges or vertices. Every point on its surface is the same distance from the center.
What is the difference between a sphere and a circle?
A circle is a flat (2D) shape that only has area, while a sphere is a three-dimensional (3D) body that has volume. In fact, a circle is the cross-section you get when you cut a sphere right through its center.
Volume of other shapes
Volume of different geometric shapes: