find the volume of a regular polygon circumscribed around a cylinder in csharp

To find the volume of a regular polygon circumscribed around a cylinder, we need to first calculate the volume of the cylinder and then subtract the volume of the part that is not included in the polygon.

Here's the C# code to find the volume of a regular polygon circumscribed around a cylinder:

main.cs
using System;

namespace PolygonCylinderVolume
{
    class Program
    {
        static void Main(string[] args)
        {
            // Inputs
            int n = 6; // Number of sides of the polygon
            double r = 5.0; // Radius of the cylinder
            double h = 10.0; // Height of the cylinder

            // Calculations
            double a = 2 * r * Math.Sin(Math.PI / n); // Side length of the polygon
            double A = 0.5 * n * a * r; // Area of the polygon
            double V_cylinder = Math.PI * r * r * h; // Volume of the cylinder
            double V_polygon = A * h; // Volume of the polygon
            double V = V_cylinder - V_polygon; // Volume of the polygon circumscribed around the cylinder

            // Output
            Console.WriteLine("The volume of the regular polygon circumscribed around the cylinder is " + V);
        }
    }
}
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In this code, we first define the inputs (number of sides of the polygon, radius of the cylinder, and height of the cylinder). We then calculate the side length and area of the polygon, as well as the volume of the cylinder and the volume of the polygon. Finally, we subtract the volume of the polygon from the volume of the cylinder to get the volume of the regular polygon circumscribed around the cylinder, which we output to the console.

gistlibby LogSnag