# Find the surface area of sphere

In geometry, a sphere is a three-dimensional object that is perfectly round, with all points on its surface equidistant from its center. The surface area of a sphere refers to the total area covered by its outer surface.

## Problem Statement

Given the radius of a sphere, the task is to calculate its surface area. The formula for finding the surface area of a sphere in terms of its radius 'r' is:

Surface Area = 4 * π * r^2

## Example Scenario

Imagine you are an astrophysicist studying planets and celestial bodies. You need to determine the surface area of a planet to understand its heat exchange with space. By calculating the surface area of the planet (approximated as a sphere) using its radius, you can better comprehend its thermal characteristics.

## Idea to Solve the Problem

To solve this problem, we can follow these steps:

1. Accept the radius of the sphere as input.
2. Use the formula to calculate the surface area of the sphere.
3. Display the calculated surface area.

## Pseudocode

``````function sphere_area(radius):
area = 4 * π * radius^2
return area

main:

print("Surface Area :", area1)

print("Surface Area :", area2)

print("Surface Area :", area3)``````

## Algorithm Explanation

1. Define a function `sphere_area` that takes the radius as input.
2. Inside the function, use the provided formula to calculate the surface area of the sphere.
3. In the `main` function, set three test cases with different radii: 3, 7, and 5.8.
4. Calculate the surface areas for each test case by calling the `sphere_area` function.
5. Display the calculated surface areas along with their respective radii.

## Code Solution

``````//C Program
//Find the surface area of sphere
#include <stdio.h>

#include <math.h>
//Calculate surface area of sphere by given radius
{
// Formula
// 4πr²
//Display result
printf("\n Surface Area : %lf\n\n", area);
}
int main()
{
//Test Case
sphere_area(3);
sphere_area(7);
sphere_area(5.8);
return 0;
}``````

#### Output

`````` Sphere Surface [ radius : 3.000000]
Surface Area : 113.097336

Sphere Surface [ radius : 7.000000]
Surface Area : 615.752160

Sphere Surface [ radius : 5.800000]
Surface Area : 422.732707
``````
``````// Java Program
// Find the surface area of sphere
class Sphere
{
//Calculate surface area of sphere by given radius
{
// Formula
// 4πr²
//Display result
System.out.print(" Sphere Surface [ radius : " + radius + "] ");
System.out.print("\n Surface Area : " + area + "\n\n");
}
public static void main(String[] args)
{
Sphere obj = new Sphere();
//Test Case
obj.sphere_area(3);
obj.sphere_area(7);
obj.sphere_area(5.8);
}
}``````

#### Output

`````` Sphere Surface [ radius : 3.0]
Surface Area : 113.09733552923255

Sphere Surface [ radius : 7.0]
Surface Area : 615.7521601035994

Sphere Surface [ radius : 5.8]
Surface Area : 422.7327074670426
``````
``````// C++ Program
// Find the surface area of sphere
#include<iostream>
#include <math.h>
using namespace std;
class Sphere
{
public:
//Calculate surface area of sphere by given radius
{
// Formula
// 4πr²
cout << " Sphere Surface [ radius : " << radius << "] ";
cout << "\n Surface Area : " << area << "\n\n";
}
};
int main()
{
Sphere obj =  Sphere();
//Test Case
obj.sphere_area(3);
obj.sphere_area(7);
obj.sphere_area(5.8);
return 0;
}``````

#### Output

`````` Sphere Surface [ radius : 3]
Surface Area : 113.097

Sphere Surface [ radius : 7]
Surface Area : 615.752

Sphere Surface [ radius : 5.8]
Surface Area : 422.733
``````
``````<?php
// Php Program
// Find the surface area of sphere
class Sphere
{
//Calculate surface area of sphere by given radius
{
// Formula
// 4πr²
//Display result
echo("\n Surface Area : ". \$area ."\n\n");
}
}

function main()
{
\$obj = new Sphere();
//Test Case
\$obj->sphere_area(3);
\$obj->sphere_area(7);
\$obj->sphere_area(5.8);
}
main();``````

#### Output

`````` Sphere Surface [ radius : 3]
Surface Area : 113.09733552923

Sphere Surface [ radius : 7]
Surface Area : 615.7521601036

Sphere Surface [ radius : 5.8]
Surface Area : 422.73270746704
``````
``````// C# Program
// Find the surface area of sphere
using System;
class Sphere
{
//Calculate surface area of sphere by given radius
{
// Formula
// 4πr²
Console.Write(" Sphere Surface [ radius : " + radius + "] ");
Console.Write("\n Surface Area : " + area + "\n\n");
}
public static void Main(String[] args)
{
Sphere obj = new Sphere();
//Test Case
obj.sphere_area(3);
obj.sphere_area(7);
obj.sphere_area(5.8);
}
}``````

#### Output

`````` Sphere Surface [ radius : 3]
Surface Area : 113.097335529233

Sphere Surface [ radius : 7]
Surface Area : 615.752160103599

Sphere Surface [ radius : 5.8]
Surface Area : 422.732707467043
``````
``````// Node Js Program
// Find the surface area of sphere
class Sphere
{
//Calculate surface area of sphere by given radius
{
// Formula
// 4πr²
//Display result
process.stdout.write(" Sphere Surface [ radius : " + radius + "] ");
process.stdout.write("\n Surface Area : " + area + "\n\n");
}
}

function main(args)
{
var obj = new Sphere();
//Test Case
obj.sphere_area(3);
obj.sphere_area(7);
obj.sphere_area(5.8);
}
main();``````

#### Output

`````` Sphere Surface [ radius : 3]
Surface Area : 113.09733552923255

Sphere Surface [ radius : 7]
Surface Area : 615.7521601035994

Sphere Surface [ radius : 5.8]
Surface Area : 422.7327074670426
``````
``````#  Python 3 Program
#  Find the surface area of sphere
import math
class Sphere :
# Calculate surface area of sphere by given radius
#  Formula
#  4πr²
# Display result
print(" Sphere Surface [ radius : ", radius ,"] ", end = "")
print("\n Surface Area : ", area ,"\n\n", end = "")

def main() :
obj = Sphere()
# Test Case
obj.sphere_area(3)
obj.sphere_area(7)
obj.sphere_area(5.8)

if __name__ == "__main__": main()``````

#### Output

`````` Sphere Surface [ radius :  3 ]
Surface Area :  113.09733552923255

Sphere Surface [ radius :  7 ]
Surface Area :  615.7521601035994

Sphere Surface [ radius :  5.8 ]
Surface Area :  422.7327074670426
``````
``````#  Ruby Program
#  Find the surface area of sphere
class Sphere

# Calculate surface area of sphere by given radius

#  Formula
#  4πr²
# Display result
print("\n Surface Area  : ", area ,"\n\n")
end
end
def main()

obj = Sphere.new()
# Test Case
obj.sphere_area(3)
obj.sphere_area(7)
obj.sphere_area(5.8)
end
main()``````

#### Output

`````` Sphere Surface [ radius  : 3]
Surface Area  : 113.09733552923255

Sphere Surface [ radius  : 7]
Surface Area  : 615.7521601035994

Sphere Surface [ radius  : 5.8]
Surface Area  : 422.7327074670426

``````
``````// Scala Program
// Find the surface area of sphere
class Sphere
{
//Calculate surface area of sphere by given radius
def sphere_area(radius: Double): Unit = {
// Formula
// 4πr²
//Display result
print(" Sphere Surface [ radius : " + radius + "] ");
print("\n Surface Area : " + area + "\n\n");
}
}
object Main
{
def main(args: Array[String]): Unit = {
var obj: Sphere = new Sphere();
//Test Case
obj.sphere_area(3);
obj.sphere_area(7);
obj.sphere_area(5.8);
}
}``````

#### Output

`````` Sphere Surface [ radius : 3.0]
Surface Area : 113.09733552923255

Sphere Surface [ radius : 7.0]
Surface Area : 615.7521601035994

Sphere Surface [ radius : 5.8]
Surface Area : 422.7327074670426
``````
``````// Swift Program
// Find the surface area of sphere

class Sphere
{
//Calculate surface area of sphere by given radius
{
// Formula
// 4πr²
//Display result
print(" Sphere Surface [ radius : ", radius ,"] ", terminator: "");
print("\n Surface Area : ", area ,"\n\n", terminator: "");
}
}
func main()
{
let obj: Sphere = Sphere();
//Test Case
obj.sphere_area(3);
obj.sphere_area(7);
obj.sphere_area(5.8);
}
main();``````

#### Output

`````` Sphere Surface [ radius :  3.0 ]
Surface Area :  113.097335529233

Sphere Surface [ radius :  7.0 ]
Surface Area :  615.752160103599

Sphere Surface [ radius :  5.8 ]
Surface Area :  422.732707467043
``````

## Output Explanation

The code calculates the surface area for each test case and displays the results. For a sphere with a radius of 3, the surface area is approximately 113.097336. Similarly, for radii of 7 and 5.8, the surface areas are approximately 615.752160 and 422.732707, respectively.

## Time Complexity

The time complexity of this code is constant O(1) because the calculations involve basic arithmetic operations, which take a constant amount of time regardless of the input size. The program performs a fixed number of operations for each test case, making it efficient.

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