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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