半径改变时半球体积的百分比变化

原文:https://www . geeksforgeeks . org/半球体积百分比变化-如果半径发生变化/

假设半球的半径以固定的百分比变化，那么目标是计算半球体积变化的百分比。

例: 输入: r = 20% 输出: 72.80% 输入: r = 70% 输出: 391.30 %

进场:

  • 让，半球的半径= a

  • 给定百分比增加= x%

  • 音量增大前= \frac{2}{3} * 3.14*a^3

  • 增加后新半径= a + \frac{ax}{100}

  • 所以，新卷= \frac{2}{3}*3.14*(a^3 + (\frac{ax}{100})^3 + \frac{3a^3x}{100} + \frac{3a^3x^2}{10000})

  • 体积变化= \frac{2}{3}*3.14*((\frac{ax}{100})^3 + \frac{3a^3x}{100} + \frac{3a^3x^2}{10000})

  • = (\frac{2}{3}*3.14*((\frac{ax}{100})^3 + \frac{3a^3x}{100} + \frac{3a^3x^2}{10000})/\frac{2}{3}*3.14*a^3) * 100 = \frac{x^3}{10000} + 3x + \frac{3x^2}{100} 体积百分比增加

以下是上述方法的实现:

卡片打印处理机（Card Print Processor 的缩写）

// C++ program to find percentage change
// in hemisphere volume wrt change in radius

#include <iostream>
#include <math.h>
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 语言(一种计算机语言，尤用于创建网站)

// 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

计算机编程语言

# 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

java 描述语言

// javascript program to find percentage change
// in hemisphere volume wrt change in radius

    // Function to find the change
    // in hemispheric volume
    function new_vol(x)
    {
        if (x > 0)
        {

            document.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)
        {

            document.write("% change in the "
                + "volume of the hemisphere: "
                + (Math.pow(x, 3) / 10000 + 3 * x
                        + (3 * Math.pow(x, 2)) / 100)
                + "% decrease\n");
        }

        else
        {
            document.write("Volume remains the same.");
        }
    }

    // Driver code

        // Get the change in radius
        var x = -10.0;

        // Calculate the change in hemispheric volume
        new_vol(x);

// This code is contributed by bunnyram19. 

Output: 

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

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