# Sphere Formula

Sphere is a solid 3 dimensional (x-axis, y-axis, and z-axis), geometrical shape, symmetrical circular-shaped object. It does not have any flat surfaces, edges, and vertices. Sphere examples are football, Basket Ball, World Globe, Plants, and more.

Characteristics of a Sphere

A list of Characteristics of a Sphere is given below -

• A sphere is a three-dimensional solid symmetrical object.
• It is round in shape.
• Based on its radius, it has a surface area and volume.
• It does not have any corners, edges, and faces.

Component of Sphere

A Sphere contains the following components -

Diameter - The longest line that passes through the center of a Sphere is called Diameter. It is denoted by D or d.

Radius - Half of a Diameter is called radius. It is denoted by R or r.

### Formulas of a Sphere

The below table shows the three main formulas of a Sphere -

 Diameter of a Sphere D=2r Surface Area of a Sphere A=4πr2 Volume of a Sphere V=(4⁄3)πr3

π =22⁄7 or 3.14

D = Diameter of a Sphere

A = Area of a Sphere

V = Volume of a Sphere

### Example 1:

If the radius of a sphere is 5 cm, then calculate the following:

• Diameter of a Sphere
• Surface area of a Sphere
• Volume of a Sphere

Solution:

Given -

Radius of a Sphere (r) = 5 cm

(i) Diameter of a Sphere (D) = 2r

= 2×5

= 10 cm

(ii) Surface area of Sphere (A) = 4πr2

= 4×3.14×5×5

= 314 cm2

(iii) Volume of a Sphere (V) = (4⁄3)πr3

Example 2: Write a C program to calculate the following -

• Diameter of a Sphere
• Surface area of a Sphere
• Volume of a Sphere

Code:

Output:

```Enter radius of a Sphere 5
Diameter of a Sphere is = 10
Area of a Sphere is = 314.000000
Volume of a Sphere is = 523.333351
```

Example 2: Write C++ program to calculate Sphere Formulas -

Code:

Output:

```Enter Radius of Sphere : 9
Diameter of Sphere = 18
Area of Sphere = 1017
Volume of Sphere = 3052
```

Example 3: Write a Java Program to calculate diameter, area, and volume of a Sphere.

Code:

Output:

```Diameter of a Sphere = 14
Area of a Sphere = 616.000000
Volume of a Sphere = 1437.33333333464
```

Example 4: Write a PHP program to calculate following Sphere formulas -

• Diameter of a Sphere
• Surface area of a Sphere
• Volume of a Sphere

Code:

Output:

```Diameter of the Sphere = 36
Area of the Sphere = 4073.1428571466
Volume of the Sphere = 24438.857142879
```

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