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
#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
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