计算环面的体积和表面积

本文介绍了圆环的表面和数学概念。
通过沿小圆圈(半径r)旋转小圆圈(半径r)而制成的3D形状。

圆环面

财产：

1. 可以通过沿大圆(半径R)制成的直线旋转小圆(半径r)来制成。
2. 它不是多面体
3. 它没有顶点或边

• 表面积
  圆环的表面积由下式给出：

Surface Area = 4 × Pi^2 × R × r

• 其中r是小圆圈的半径，R是大圆圈的半径，Pi是常数Pi = 3.14159。
• 体积
  圆锥体的体积由以下公式给出：

Volume = 2 × Pi^2 × R × r^2

• 其中r是小圆圈的半径，R是大圆圈的半径，Pi是常数Pi = 3.14159。

例子：

Input : r=3, R=7
Output :
     Volume: 1243.568195
     Surface: 829.045464

C++

// C++ program to calculate volume
// and surface area of Torus
#include
using namespace std;
 
int main()
{
    // radus of inner circle
    double r = 3;
 
    // distance from origin to center of inner circle
    // radius of black circle in figure
    double R = 7;
 
    // Value of Pi
    float pi = (float)3.14159;
    double Volume = 0;
    Volume = 2 * pi * pi * R * r * r;
    cout<<"Volume: "<

---

C

// C program to calculate volume
// and surface area of Torus
#include 
int main()
{
    // radus of inner circle
    double r = 3;
 
    // distance from origin to center of inner circle
    // radius of black circle in figure
    double R = 7;
 
    // Value of Pi
    float pi = (float)3.14159;
    double Volume = 0;
    Volume = 2 * pi * pi * R * r * r;
    printf("Volume: %f", Volume);
 
    double Surface = 4 * pi * pi * R * r;
    printf("\nSurface: %f", Surface);
}

Java

// Java program to calculate volume
// and surface area of Torus
class Test {
 
    public static void main(String args[])
    {
 
        // radius of inner circle
        double r = 3;
 
        // distance from origin to center of inner circle
        // radius of black circle in figure
        double R = 7;
 
        // Value of Pi
        float pi = (float)3.14159;
        double Volume = 0;
        Volume = 2 * pi * pi * R * r * r;
        System.out.printf("Volume: %f", Volume);
 
        double Surface = 4 * pi * pi * R * r;
        System.out.printf("\nSurface: %f", Surface);
    }
}

Python3

# Python3 program to calculate volume
# and surface area of Torus
# radus of inner circle
r = 3
 
# distance from origin to center of inner circle
# radius of black circle in figure
R = 7
 
# Value of Pi
pi = 3.14159
Volume = (float)(2 * pi * pi * R * r * r);
print("Volume: ", Volume);
Surface = (float)(4 * pi * pi * R * r);
print("Surface: ", Surface);

C#

// C# program to calculate volume
// and surface area of Torus
using System;
 
class GFG
{
     
// Driver Code
public static void Main()
{
 
    // radius of inner circle
    double r = 3;
 
    // distance from origin to center
    // of inner circle radius of black
    // circle in figure
    double R = 7;
 
    // Value of Pi
    float pi = (float)3.14159;
    double Volume = 0;
    Volume = 2 * pi * pi * R * r * r;
    Console.WriteLine("Volume: {0}", Volume);
 
    double Surface = 4 * pi * pi * R * r;
    Console.WriteLine("Surface: {0}", Surface);
}
}
 
// This code is contributed by Soumik

Javascript

 
// Javascript program to calculate volume
// and surface area of Torus
 
// radius of inner circle
var r = 3;
 
// distance from origin to center of inner circle
// radius of black circle in figure
var R = 7;
 
// Value of Pi
var pi = 3.14159;
var Volume = 0;
Volume = 2 * pi * pi * R * r * r;
document.write("Volume: " + Volume + "<br>");
 
var Surface = 4 * pi * pi * R * r;
document.write("Surface: " + Surface);
 

输出：

Volume: 1243.568195
Surface: 829.045464