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Percentage increase in the cylinder if the height is increased by given percentage but radius remains constant

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  • Last Updated : 31 May, 2022
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Given here is a right circular cylinder, whose height increases by a given percentage, but radius remains constant. The task is to find the percentage increase in the volume of the cylinder.
Examples: 
 

Input: x = 10
Output: 10%

Input: x = 18.5
Output: 18.5%

Approach
 

  • Let, the radius of the cylinder = r
  • height of the cylinder = h
  • given percentage increase = x%
  • so, old volume = π*r^2*h
  • new height = h + hx/100
  • new volume = π*r^2*(h + hx/100)
  • so, increase in volume = πr^2*(hx/100)
  • so percentage increase in volume = (πr^2*(hx/100))/(πr^2*(hx/100))*100 = x


 

C++




// C++ program to find percentage increase
// in the cylinder if the height
// is increased by given percentage
// but radius remains constant
 
#include <bits/stdc++.h>
using namespace std;
 
void newvol(double x)
{
    cout << "percentage increase "
         << "in the volume of the cylinder is "
         << x << "%" << endl;
}
 
// Driver code
int main()
{
    double x = 10;
    newvol(x);
    return 0;
}


Java




// Java program to find percentage increase
// in the cylinder if the height
// is increased by given percentage
// but radius remains constant
import java.io.*;
 
class GFG
{
 
static void newvol(double x)
{
    System.out.print( "percentage increase "
        + "in the volume of the cylinder is "
        + x + "%" );
}
 
// Driver code
public static void main (String[] args)
{
    double x = 10;
    newvol(x);
}
}
 
// This code is contributed by anuj_67..


Python3




# Python3 program to find percentage increase
# in the cylinder if the height
# is increased by given percentage
# but radius remains constant
 
def newvol(x):
    print("percentage increase in the volume of the cylinder is ",x,"%")
 
# Driver code
x = 10.0
newvol(x)
 
# This code is contributed by mohit kumar 29


C#




// C# program to find percentage increase
// in the cylinder if the height
// is increased by given percentage
// but radius remains constant
using System;
 
class GFG
{
 
static void newvol(double x)
{
    Console.WriteLine( "percentage increase "
        + "in the volume of the cylinder is "
        + x + "%" );
}
 
// Driver code
public static void Main ()
{
    double x = 10;
    newvol(x);
}
}
 
// This code is contributed by anuj_67..


Javascript




<script>
// javascript program to find percentage increase
// in the cylinder if the height
// is increased by given percentage
// but radius remains constant
function newvol(x)
{
    document.write( "percentage increase "
        + "in the volume of the cylinder is "
        + x + "%" );
}
 
// Driver code
var x = 10;
newvol(x);
 
// This code is contributed by 29AjayKumar
</script>


Output: 
 

percentage increase in the volume of the cylinder is 10.0%

Time Complexity: O(1), since there is no loop.

Auxiliary Space: O(1), since no extra space has been taken.


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