Percentage change in Hemisphere volume if radius is changed

Given that the radius of a hemisphere is changed by a fixed percentage so, the target is to calculate the percentage changed in the volume of the hemisphere.

Examples:
Input: r = 20%
Output: 72.80%

Input: r = 70%
Output: 391.30 %

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach:

• Let, the radius of the hemisphere =
• Given percentage increase =
• Volume before increase =
• New radius after increase =
• So, new volume =
• Change in volume =
• Percentage increase in volume

Below is the implementation of the above approach:

CPP

 // C++ program to find percentage change  // in hemisphere volume wrt change in radius     #include  #include  using namespace std;     // Function to find the change  // in hemispheric volume  void new_vol(double x)  {         if (x > 0) {             cout << "% change in the "              << "volume of the hemisphere: "              << pow(x, 3) / 10000 + 3 * x                      + (3 * pow(x, 2)) / 100               << "%"              << " increase\n";      }         else if (x < 0) {             cout << "% change in the "              << "volume of the hemisphere: "              << pow(x, 3) / 10000 + 3 * x                      + (3 * pow(x, 2)) / 100               << "% decrease\n";      }         else {          cout << "Volume remains the same.";      }  }     // Driver code  int main()  {         // Get the change in radius      double x = -10.0;         // Calculate the change in hemispheric volume      new_vol(x);         return 0;  }

Java

 // Java program to find percentage change  // in hemisphere volume wrt change in radius  class GFG  {     // Function to find the change  // in hemispheric volume  static void new_vol(double x)  {         if (x > 0)      {             System.out.print("% change in the "             + "volume of the hemisphere: "             + (Math.pow(x, 3) / 10000 + 3 * x                      + (3 * Math.pow(x, 2)) / 100)              + "%"             + " increase\n");      }         else if (x < 0)       {             System.out.print("% change in the "             + "volume of the hemisphere: "             + (Math.pow(x, 3) / 10000 + 3 * x                      + (3 * Math.pow(x, 2)) / 100)              + "% decrease\n");      }         else      {          System.out.print("Volume remains the same.");      }  }     // Driver code  public static void main(String[] args)  {         // Get the change in radius      double x = -10.0;         // Calculate the change in hemispheric volume      new_vol(x);  }  }     // This code is contributed by Rajput-Ji

Python

 # Python3 program to find percentage change  # in hemisphere volume wrt change in radius        # Function to find the change  # in hemispheric volume  def new_vol(x):         if (x > 0):             print("% change in the volume of the hemisphere: ", pow(x, 3) / 10000 + 3 * x + (3 * pow(x, 2)) / 100,"% increase")         elif (x < 0):             print("% change in the volume of the hemisphere: ", pow(x, 3) / 10000 + 3 * x + (3 * pow(x, 2)) / 100,"% decrease")         else:          print("Volume remains the same.")  # Driver code     # Get the change in radius  x = -10.0    # Calculate the change in hemispheric volume  new_vol(x)     # This code is contributed by mohit kumar 29

C#

 // C# program to find percentage change  // in hemisphere volume wrt change in radius  using System;     class GFG  {         // Function to find the change      // in hemispheric volume      static void new_vol(double x)      {          if (x > 0)          {                     Console.Write("% change in the "                 + "volume of the hemisphere: "                 + (Math.Pow(x, 3) / 10000 + 3 * x                          + (3 * Math.Pow(x, 2)) / 100)                  + "%"                 + " increase\n");          }                 else if (x < 0)           {                     Console.Write("% change in the "                 + "volume of the hemisphere: "                 + (Math.Pow(x, 3) / 10000 + 3 * x                          + (3 * Math.Pow(x, 2)) / 100)                  + "% decrease\n");          }                 else         {              Console.Write("Volume remains the same.");          }      }             // Driver code      public static void Main()      {                 // Get the change in radius          double x = -10.0;                 // Calculate the change in hemispheric volume          new_vol(x);      }  }     // This code is contributed by AnkitRai01

Output:

% change in the volume of the hemisphere: -27.1% decrease


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