Calculate volume and surface area of a cone
Last Updated :
29 Feb, 2024
Given slant height, height and radius of a cone, we have to calculate the volume and surface area of the cone.
- Cone :
Cone is a three dimensional geometric shape. It consists of a base having the shape of a circle and a curved side (the lateral surface) ending up in a tip called the apex or vertex.
- Volume of a cone :
The volume of a cone is given by the formula -
volume = 1/3(pi * r * r * h)
where r is the radius of the circular base, and h is the height (the perpendicular distance from the base to the vertex).
area = pi * r * s + pi * r^2
Where r is the radius of the circular base, and s is the slant height of the cone.
Examples :
Input :
radius = 5
slant_height = 13
height = 12
Output :
Volume Of Cone = 314.159
Surface Area Of Cone = 282.743
Input :
radius = 6
slant_height = 10
height = 8
Output :
Volume Of Cone = 301.593
Surface Area Of Cone = 301.593
C++
// CPP program to calculate Volume
// and Surface area of Cone
#include<iostream>
using namespace std;
float pi = 3.14159;
// Function to calculate
// Volume of cone
float volume(float r, float h)
{
return (float(1) / float(3)) * pi *
r * r * h;
}
// Function to calculate
// Surface area of cone
float surface_area(float r, float s)
{
return pi * r * s + pi * r * r;
}
// Driver Code
int main()
{
float radius = 5;
float slant_height = 13;
float height = 12;
float vol, sur_area;
// Printing value of volume
// and surface area
cout << "Volume Of Cone : "
<< volume(radius, height) << endl;
cout << "Surface Area Of Cone : "
<< surface_area(radius, slant_height);
return 0;
}
// Java program to calculate
// Volume and Surface area of cone
class GFG
{
static float pi = 3.14159f;
// Function to calculate
// Volume of cone
public static float volume(float r,
float h)
{
return (float)1 / 3 * pi * h *
r * r;
}
// Function to calculate
// Surface area of cone
public static float surface_area(float r,
float s)
{
return pi * r * s + pi * r * r;
}
// Driver Code
public static void main(String args[])
{
float radius = 5;
float slant_height = 13;
float height = 12;
float vol, sur_area;
// Printing value of volume
// and surface area
System.out.print("Volume Of Cone : ");
System.out.println(volume(radius, height));
System.out.print("Surface Area Of Cone : ");
System.out.println(surface_area(radius,
slant_height));
}
}
// This code is contributed by "akanshgupta"
''' Python3 program to calculate Volume and
Surface area of Cone'''
# Importing Math library for value Of PI
import math
pi = math.pi
# Function to calculate Volume of Cone
def volume(r, h):
return (1 / 3) * pi * r * r * h
# Function To Calculate Surface Area of Cone
def surfacearea(r, s):
return pi * r * s + pi * r * r
# Driver Code
radius = float(5)
height = float(12)
slat_height = float(13)
print( "Volume Of Cone : ", volume(radius, height) )
print( "Surface Area Of Cone : ", surfacearea(radius, slat_height) )
// C# program to calculate
// Volume and Surface area of cone
using System;
class GFG
{
static float pi = 3.14159f;
// Function to calculate
// Volume of cone
public static float volume(float r,
float h)
{
return (float)1 / 3 * pi * h *
r * r;
}
// Function to calculate
// Surface area of cone
public static float surface_area(float r,
float s)
{
return pi * r * s + pi * r * r;
}
// Driver Code
public static void Main()
{
float radius = 5;
float slant_height = 13;
float height = 12;
//float vol, sur_area;
// Printing value of volume
// and surface area
Console.Write("Volume Of Cone : ");
Console.WriteLine(volume(radius,
height));
Console.Write("Surface Area Of Cone : ");
Console.WriteLine(surface_area(radius,
slant_height));
}
}
// This code is contributed by "vt_m"
<script>
// javascript program to calculate Volume
// and Surface area of Cone
const pi = 3.14159;
// Function to calculate
// Volume of cone
function volume( r, h)
{
return ((1) / (3)) * pi *
r * r * h;
}
// Function to calculate
// Surface area of cone
function surface_area( r, s)
{
return pi * r * s + pi * r * r;
}
// Driver Code
let radius = 5;
let slant_height = 13;
let height = 12;
let vol, sur_area;
// Printing value of volume
// and surface area
document.write( "Volume Of Cone : "
+ volume(radius, height).toFixed(2) +"<br/>");
document.write( "Surface Area Of Cone : "
+ surface_area(radius, slant_height).toFixed(2) +"<br/>");
// This code is contributed by Rajput-Ji
</script>
<?php
// PHP program to calculate Volume
// and Surface area of Cone
// Function to calculate Volume of cone
function volume( $r, $h)
{
$pi = 3.14159;
return (1 / 3) * $pi * $r *
$r * $h;
}
// Function to calculate
// Surface area of cone
function surface_area($r, $s)
{
$pi = 3.14159;
return $pi * $r * $s + $pi *
$r * $r;
}
// Driver Code
$radius = 5;
$slant_height = 13;
$height = 12;
//vol, sur_area;
// Printing value of volume
// and surface area
echo("Volume Of Cone : ");
echo( volume($radius, $height));
echo("\n");
echo("Surface Area Of Cone : ");
echo( surface_area($radius,
$slant_height));
// This code is contributed by vt_m.
?>
Output :
Volume Of Cone : 314.159
Surface Area Of Cone : 282.743
Time complexity : O(1)
Auxiliary Space : O(1)
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