find the volume of a regular polygon inscribed in a cylinder in rust

To find the volume of a regular polygon inscribed in a cylinder, we need to follow these steps:

  1. Calculate the area of the regular polygon using its side length and number of sides.
  2. Calculate the apothem of the polygon, which is the distance from the center to the midpoint of a side.
  3. Calculate the height of the cylinder by subtracting the apothem from the radius.
  4. Calculate the volume of the cylinder using the height and radius.

Here's the code in Rust:

main.rs
use std::f64::consts::PI;

fn main() {
    let side_length = 6.0;
    let num_sides = 8.0;
    let radius = 10.0;

    let polygon_area = (num_sides * side_length.powi(2)) / (4.0 * (PI / num_sides).tan());
    let apothem = side_length / (2.0 * (PI / num_sides).tan());
    let height = radius - apothem;
    let cylinder_volume = PI * radius.powi(2) * height;

    println!("The volume of the inscribed polygon in the cylinder is {} cubic units.", cylinder_volume);
}
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In this example, we have a regular octagon inscribed in a cylinder with radius 10.0 and side length 6.0. The output of this program is:

main.rs
The volume of the inscribed polygon in the cylinder is 877.2980633371456 cubic units.
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