Volume of a Sphere Calculator

Sphere volume
Circumference

Area of A Sphere

A sphere is the form of a basketball, it is like a three-dimensional circle. A bit like a circle, the scale of a sphere is decided by its radius, that is the distance from the middle of the sphere to any points on its surface. It can be described as the set of all points situated from the distance r (radius) located on a given point (center). it's absolutely symmetrical, and has no edges or vertices.

The formula to find the area of the surface of a sphere is given below:

Volume of a sphere calculator

$$\text{Area}\;=\;4πr^2$$

Where,

  • r is the radius of the surface area of sphere.
  • π the value of pi is 3.14 or 3.14159. It is the ratio of the circumference of any circle to the diameter of the circle.

The above figure will visualize you how volume of a sphere calculator use the formula to calculate the area and volume.

This formula was discovered by the Greek philosopher Archimedes over two thousand years ago. He also realized that the surface area of a sphere is exactly equal to the area of the curved wall of its circumscribed cylinder, which is the smallest cylinder that can contain the sphere. See Surface area of a cylinder.

A sphere has several interesting properties, one of is that, the sphere has the largest volume then all other shapes with the same surface area.

By rearranging the formula given above, you can find the radius:

$$r\;=\;\sqrt{\frac{a}{4π}}$$

where “a” is the surface area of a sphere.

Volume of a Sphere

A sphere is a set of points in space that are located on given distance r from the center.

The volume is the amount of space occupied by any 3 dimensional solid. Volume is measured in cubic units such as in³, ft³, cm³, m³ etc. Be sure that all of the measurements must be in the same unit before calculating the volume.

The volume V of a sphere is 4/3 times of radius cubed and pi.

$$\frac {4}{3} πr^3$$

The volume of a hemisphere is 1/2 the volume of the related sphere.

Volume of a sphere

Volume of Sphere

$$=\;\frac {4}{3} πr^3$$

Where r is the radius of the sphere. In the figure above, the Volume of a sphere calculator is used to find the volume of sphere and also focus on how they calculate it. Since the 4, 3 and pi are constant values, this simplifies to approximately

$$4.19r^3$$

By rearranging the formula given above, you can find the radius:

$$r\;=\;\sqrt[3]{\frac{3v}{4π}}$$

where v is the volume of a sphere.

Circumference of a sphere

The Circumference of a circle or a sphere is equal to 6.2832 times more of the Radius. The Circumference of a circle or a sphere is equal to 3.1416 times more than the Diameter.

The formula to find the Circumference of a sphere is mentioned below:

$$C\;=\;2πr$$

Diameter of a sphere

The Diameter of a circle or sphere is equal to 2 times more than the Radius. Formula to calculate the diameter of the sphere is:

$$D\;=\;2r$$

Things to recall

  • Surface area of sphere = 4πr2
  • Volume of a sphere = 4/3 πr3
  • You only need to know the radius to calculate both the volume and area of a sphere.
  • Surface area problems answers should always be in square units
  • Volume problems answers should always be in cubic units

Volume of a sphere calculator

Calculatored introduce Volume of a sphere calculator to use for calculation of volume of a sphere.

Circumference of a sphere

Where,

First you have to enter the value of radius, then there is a tab down button where you have to enter the unit of the radius. You will see three options:

  • Radius in centimeters
  • Radius in meters
  • Radius in millimeters

After you entered the radius regarding to its unit then press “CALCULATE” button and the Volume of a sphere calculator will calculate sphere volume and Circumference.

Here is the example of calculation to find the area and volume of the sphere through Calculatored’s Volume of a sphere calculator.

Diameter of a sphere

After entering the radius regarding to its unit then press “CALCULATE” button and the Volume of a sphere calculator will calculate sphere volume and Circumference on the right blocks.


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