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

To find the volume of a regular polygon inscribed in a cylinder, we need to first calculate the area of the polygon and then use that to calculate its volume.

Let's say we have a regular polygon with n sides inscribed in a cylinder of radius r and height h.

To calculate the area of the polygon, we use the formula:

index.tsx
area = (n * r^2 * sin(2*pi/n)) / 2
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To calculate the volume of the polygon, we use the formula:

index.tsx
volume = area * h
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Here's the JavaScript code to calculate the volume of the regular polygon inscribed in a cylinder:

index.tsx
function calculatePolygonVolume(n, r, h) {
  const pi = Math.PI;
  const area = (n * Math.pow(r, 2) * Math.sin(2*pi/n)) / 2;
  const volume = area * h;
  return volume;
}

// Example usage: calculate the volume of a regular hexagon inscribed in a cylinder of radius 5 and height 10
const n = 6; // number of sides
const r = 5; // radius of the cylinder
const h = 10; // height of the cylinder

const volume = calculatePolygonVolume(n, r, h);
console.log(`The volume of the regular hexagon inscribed in the cylinder is ${volume}`);
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