计算圆环体的体积和表面积
原文:https://www . geesforgeks . org/compute-volume-and-surface-area-of-torus/
这篇文章是关于环面的表面和数学概念。 通过沿着由较大圆(半径 R)构成的直线旋转一个小圆(半径 R)而形成的三维形状。
花托
属性:
- 它可以通过沿着一条由一个大圆(半径为 R)构成的直线旋转一个小圆(半径为 R)来制作。
- 它不是多面体
-
它没有顶点或边
-
表面积 圆环体的表面积由公式给出–
Surface Area = 4 × Pi^2 × R × r
-
其中 R 是小圆的半径，R 是大圆的半径，π是常数π= 3.14159。
-
体积 圆锥体的体积由公式给出–
Volume = 2 × Pi^2 × R × r^2
- 其中 R 是小圆的半径，R 是大圆的半径，π是常数π= 3.14159。
示例:
Input : r=3, R=7
Output :
Volume: 1243.568195
Surface: 829.045464
C++
// C++ program to calculate volume
// and surface area of Torus
#include<bits/stdc++.h>
using namespace std;
int 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;
cout<<"Volume: "<<Volume<<endl;
double Surface = 4 * pi * pi * R * r;
cout<<"Surface: "<<Surface<<endl;
}
C
// C program to calculate volume
// and surface area of Torus
#include <stdio.h>
int 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;
printf("Volume: %f", Volume);
double Surface = 4 * pi * pi * R * r;
printf("\nSurface: %f", Surface);
}
Java 语言(一种计算机语言，尤用于创建网站)
// 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);
}
}
Python 3
# Python3 program to calculate volume
# and surface area of Torus
# radius 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
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP program to calculate volume
// and surface area of Torus
// radius 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 = (float)3.14159;
$Volume = 0;
$Volume = 2 * $pi * $pi * $R * $r * $r;
echo "Volume: ", $Volume, "\n";
$Surface = 4 * $pi * $pi * $R * $r;
echo "Surface: ", $Surface, "\n";
// This code is contributed by ajit
?>
java 描述语言
<script>
// 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);
</script>
Output:
Volume: 1243.568195
Surface: 829.045464
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