錐的臺體的體積和表面積程式


什麼是圓錐臺?

圓錐臺是透過切除圓錐體的尖端,留下稱為圓錐臺的上部和下部底面形成的,如圖所示。圓錐臺的上部底面的半徑為“r”,下部底面的半徑為“R”,高度為“h”,傾斜的高度為“L”

下面是圓錐臺的示意圖

問題

給定傾斜的高度、高度、上部底面半徑“r”和下部底面半徑“R”,任務是計算圓錐臺的體積和表面積。

要計算圓錐臺的體積和表面積,有一個公式

Volume (V) = 1/3 * pi * h(r2 + R2 + r*R)
Curved Surface Area (CSA) = pi * l(R + r)
Total Surface Area (TSA) = pi * l(R + r) + pi(R2 + r2)

示例

Input-: r=4 R=9 h=12 L=13
Output-: Volume Of Cone : 1671.33
   Curved Surface Area Of Cone : 530.929
   Total Surface Area Of Cone : 835.663

演算法

Start
Step 1 -> define macro as
   #define pi 3.14
Step 2 -> Declare function to calculate Volume of cone
   float volume(float r, float R, float h)
      return (float(1) / float(3)) * pi * h * (r * r + R * R + r * R)
Step 3 -> Declare function to calculate Curved Surface area of cone
   float CSA(float r, float R, float l)
      return pi * l * (R + r)
Step 4 -> Declare function to calculate Total Surface area of cone
   float TSA(float r, float R, float l, float h)
      return pi * l * (R + r) + pi * (r * r + R * R)
step 5 -> In main()
   declare variables as R1=4, R2=9, slantHeight=13 and height=12
   call volume(R1, R2, height)
   Call CSA(R1, R2, slantHeight)
   TSA(R1, R2,slantHeight, height)
Stop

示例

 即時演示

#include <iostream>
#define pi 3.14159
using namespace std;
// Function to calculate Volume 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 cone
float CSA(float r, float R, float l){
   return pi * l * (R + r);
}
// Function to calculate Total Surface area of cone
   float TSA(float r, float R, float l, float h){
   return pi * l * (R + r) + pi * (r * r + R * R);
}
int main(){
   float R1 = 4;
   float R2 = 9;
   float slantHeight = 13;
   float height = 12;
   cout << "Volume Of Cone : "<< volume(R1, R2, height)<< endl;
   cout << "Curved Surface Area Of Cone : "<<CSA(R1, R2, slantHeight)<< endl;
   cout << "Total Surface Area Of Cone : "<<TSA(R1, R2,slantHeight, height);
   return 0;
}

輸出

Volume Of Cone : 1671.33
Curved Surface Area Of Cone : 530.929
Total Surface Area Of Cone : 835.663

更新日期:2019-09-20

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