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📜  如果半径增加给定百分比,则球体体积增加的百分比

📅  最后修改于: 2021-10-23 09:09:28             🧑  作者: Mango

这里给出的是一个球体,其半径增加了给定的百分比。任务是找出球体体积增加的百分比。
例子:

Input: x = 10
Output: 33.1%

Input: x = 50
Output: 237.5%

方法

  • 让,球体的半径 = a
  • 给定百分比增加 = x%
  • 增加前的体积 = 4/3*πa^3
  • 增加后的新半径 = a + ax/100
  • 所以,新体积 = 4/3*π(a^3 + (ax/100)^3 + 3a^3x/100 + 3a^3x^2/10000)
  • 体积变化 = 4/3*π((ax/100)^3 + 3a^3x/100 + 3a^3x^2/10000)
  • 体积增加百分比 = (4/3*π*((ax/100)^3 + 3a^3x/100 + 3a^3x^2/10000)/4/3*π*a^3) * 100 = x ^3/10000 + 3x + 3x^2/100

C++
// C++ program to find percentage increase
// in the volume of the sphere
// if radius is increased by a given percentage
 
#include 
using namespace std;
 
void newvol(double x)
{
    cout << "percentage increase in the"
         << " volume of the sphere is "
         << pow(x, 3) / 10000 + 3 * x
                + (3 * pow(x, 2)) / 100
         << "%" << endl;
}
 
// Driver code
int main()
{
    double x = 10;
    newvol(x);
    return 0;
}


Java
// Java program to find percentage increase
// in the volume of the sphere
// if radius is increased by a given percentage
import java.io.*;
 
class GFG
{
 
static void newvol(double x)
{
    System.out.print( "percentage increase in the"
        + " volume of the sphere is "
        +( Math.pow(x, 3) / 10000 + 3 * x
                + (3 * Math.pow(x, 2)) / 100)
        + "%");
}
 
// 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 volume of the sphere
# if radius is increased by a given percentage
 
def newvol(x):
 
    print("percentage increase in the"
        " volume of the sphere is "
        ,pow(x, 3) / 10000 + 3 * x
                + (3 * pow(x, 2)) / 100
            ,"%")
 
# Driver code
x = 10.0
newvol(x)
 
# This code is contributed mohit kumar 29


C#
// C# program to find percentage increase
// in the volume of the sphere
// if radius is increased by a given percentage
using System;
 
class GFG
{
 
static void newvol(double x)
{
    Console.WriteLine( "percentage increase in the"
        + " volume of the sphere is "
        +( Math.Pow(x, 3) / 10000 + 3 * x
                + (3 * Math.Pow(x, 2)) / 100)
        + "%");
}
 
// Driver code
public static void Main ()
{
    double x = 10;
    newvol(x);
}
}
 
// This code is contributed by anuj_67..


Javascript


输出:

percentage increase in the volume of the sphere is 33.1%

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