锥截体体积和表面积计算程序

给定锥台的倾斜高度、高度和半径，我们必须计算锥台的体积和表面积。

锥截体 在几何学中，平截头体是实体（通常是圆锥体或棱锥体）的一部分，位于切割它的一个或两个平行平面之间。 如果我们用一个平行于圆锥体底部的平面来切割一个正圆锥体，那么这个平面和底部之间的固体部分就称为圆锥体的平截体。

下面给出的是一个右圆锥体。

右圆锥体被一个平行于其底部的平面切割后，形成一个平截头体，如下所示：

在半径R的底部有一个圆形底座 半径为r的圆形上部 高度h 倾斜高度l

• 圆锥体的平截头体体积：

  Volume (V) = 1/3 * pi * h(r2 + R2 + r*R)
  
  where
  r = radius of smaller circle
  R = radius of bigger circle (or radius of base of the cone)
  h = height of the frustum
  

• 圆锥台的曲面面积：

  Curved Surface Area (CSA) = pi * l(R + r)
  
  where
  r = radius of smaller circle
  R = radius of bigger circle
  l = slant height of the frustum
  

• 圆锥体平截头体的总表面积：

  Total Surface Area (TSA) = pi * l(R + r) + pi(R2 + r2)
  
  where
  r = radius of smaller circle
  R = radius of bigger circle
  l = slant height of frustum
  

  例如：

  Input : Radius of smaller circle = 3
          Radius of bigger circle = 8
          Height of frustum = 12
          Slant height of frustum = 13
  Output :
  Volume Of Frustum of Cone : 1218.937
  Curved Surface Area Of Frustum of Cone : 449.24738
  Total Surface Area Of Frustum of Cone : 678.58344
  
  
  Input : Radius of smaller circle = 7
          Radius of bigger circle = 10
          Height of frustum = 4
          Slant height of frustum = 5
  
  Output :
  Volume Of Frustum of Cone : 917.34436
  Curved Surface Area Of Frustum of Cone : 267.03516
  Total Surface Area Of Frustum of Cone : 735.1321
  

  推荐：请尝试你的方法 {IDE} 首先，在进入解决方案之前。

  C++

  // CPP program to calculate Volume and // Surface area of frustum of cone #include <iostream> using namespace std; float pi = 3.14159; // Function to calculate Volume of frustum of cone float volume( float r, float R, float h) { return ( float (1) / float (3)) * pi * h * (r * r + R * R + r * R); } // Function to calculate Curved Surface area of // frustum of cone float curved_surface_area( float r, float R, float l) { return pi * l * (R + r); } // Function to calculate Total Surface area of // frustum of cone float total_surface_area( float r, float R, float l, float h) { return pi * l * (R + r) + pi * (r * r + R * R); } // Driver function int main() { float small_radius = 3; float big_radius = 8; float slant_height = 13; float height = 12; // Printing value of volume and surface area cout << "Volume Of Frustum of Cone : " << volume(small_radius, big_radius, height) << endl; cout << "Curved Surface Area Of Frustum of Cone : " << curved_surface_area(small_radius, big_radius, slant_height) << endl; cout << "Total Surface Area Of Frustum of Cone : " << total_surface_area(small_radius, big_radius, slant_height, height); return 0; }

  JAVA

  // Java program to calculate Volume and Surface area // of frustum of cone public class demo { static float pi = 3 .14159f; // Function to calculate Volume of frustum of cone public static float volume( float r, float R, float h) { return ( float ) 1 / 3 * pi * h * (r * r + R * R + r * R); } // Function to calculate Curved Surface area of // frustum of cone public static float curved_surface_area( float r, float R, float l) { return pi * l * (R + r); } // Function to calculate Total Surface area of // frustum of cone public static float total_surface_area( float r, float R, float l, float h) { return pi * l * (R + r) + pi * (r * r + R * R); } // Driver function public static void main(String args[]) { float small_radius = 3 ; float big_radius = 8 ; float slant_height = 13 ; float height = 12 ; // Printing value of volume and surface area System.out.print( "Volume Of Frustum of Cone : " ); System.out.println(volume(small_radius, big_radius, height)); System.out.print( "Curved Surface Area Of" + " Frustum of Cone : " ); System.out.println(curved_surface_area(small_radius, big_radius, slant_height)); System.out.print( "Total Surface Area Of" + " Frustum of Cone : " ); System.out.println(total_surface_area(small_radius, big_radius, slant_height, height)); } }

  Python3

  # Python3 code to calculate # Volume and Surface area of # frustum of cone import math pi = math.pi # Function to calculate Volume # of frustum of cone def volume( r , R , h ): return 1 / 3 * pi * h * (r * r + R * R + r * R) # Function to calculate Curved # Surface area of frustum of cone def curved_surface_area( r , R , l ): return pi * l * (R + r) # Function to calculate Total # Surface area of frustum of cone def total_surface_area( r , R , l , h ): return pi * l * (R + r) + pi * (r * r + R * R) # Driver Code small_radius = 3 big_radius = 8 slant_height = 13 height = 12 # Printing value of volume # and surface area print ( "Volume Of Frustum of Cone : " ,end = '') print (volume(small_radius, big_radius, height)) print ( "Curved Surface Area Of Frustum" + " of Cone : " ,end = '') print (curved_surface_area(small_radius, big_radius,slant_height)) print ( "Total Surface Area Of Frustum" + " of Cone : " ,end = '') print (total_surface_area(small_radius, big_radius,slant_height, height)) # This code is contributed by "Sharad_Bhardwaj".

  C#

  // C# program to calculate Volume and // Surface area of frustum of cone using System; public class demo { static float pi = 3.14159f; // Function to calculate // Volume of frustum of cone public static float volume( float r, float R, float h) { return ( float )1 / 3 * pi * h * (r * r + R * R + r * R); } // Function to calculate Curved // Surface area of frustum of cone public static float curved_surface_area( float r, float R, float l) { return pi * l * (R + r); } // Function to calculate Total // Surface area of frustum of cone public static float total_surface_area( float r, float R, float l, float h) { return pi * l * (R + r) + pi * (r * r + R * R); } // Driver function public static void Main() { float small_radius = 3; float big_radius = 8; float slant_height = 13; float height = 12; // Printing value of volume // and surface area Console.Write( "Volume Of Frustum of Cone : " ); Console.WriteLine(volume(small_radius, big_radius, height)); Console.Write( "Curved Surface Area Of" + " Frustum of Cone : " ); Console.WriteLine(curved_surface_area(small_radius, big_radius, slant_height)); Console.Write( "Total Surface Area Of" + " Frustum of Cone : " ); Console.WriteLine(total_surface_area(small_radius, big_radius, slant_height, height)); } } // This article is contributed by vt_m

  PHP

  <?php // PHP program to calculate Volume and // Surface area of frustum of cone // Function to calculate // Volume of frustum of cone function volume( $r , $R , $h ) { $pi = 3.14159; return (1 / (3)) * $pi * $h * ( $r * $r + $R * $R + $r * $R ); } // Function to calculate Curved // Surface area of frustum of cone function curved_surface_area( $r , $R , $l ) { $pi = 3.14159; return $pi * $l * ( $R + $r ); } // Function to calculate Total Surface // area of  frustum of cone function total_surface_area( $r , $R , $l , $h ) { $pi = 3.14159; return ( $pi * $l * ( $R + $r ) + $pi * ( $r * $r + $R * $R )); } // Driver Code $small_radius = 3; $big_radius = 8; $slant_height = 13; $height = 12; // Printing value of volume // and surface area echo ( "Volume Of Frustum of Cone : " ); echo (volume( $small_radius , $big_radius , $height )); echo ( "" ); echo ( "Curved Surface Area Of Frustum of Cone : " ); echo (curved_surface_area( $small_radius , $big_radius , $slant_height )); echo ( "" ); echo ( "Total Surface Area Of Frustum of Cone : " ); echo (total_surface_area( $small_radius , $big_radius , $slant_height , $height )); // This code is contributed by vt_m ?>

  输出：

  Volume Of Frustum of Cone : 1218.937
  Curved Surface Area Of Frustum of Cone : 449.24738
  Total Surface Area Of Frustum of Cone : 678.58344