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

To find the volume of a regular polygon circumscribed around a cylinder, we can use the following formula:

V = n * (1/2 * apothem * perimeter of the base) * height of the cylinder

where:

• n is the number of sides of the polygon
• apothem is the distance from the center of the polygon to the midpoint of a side
• perimeter of the base is the total length of all sides of the polygon
• height of the cylinder is the distance between its two bases

Here's the JavaScript code that calculates the volume of a regular polygon circumscribed around a cylinder:

index.tsx
function calculateVolume(n, r, h) {
  const apothem = r * Math.cos(Math.PI / n);
  const perimeter = 2 * n * r * Math.sin(Math.PI / n);
  const volume = n * 0.5 * apothem * perimeter * h;
  return volume;
}

// Example usage:
const n = 6; // hexagon
const r = 5; // radius of the cylinder
const h = 10; // height of the cylinder
const volume = calculateVolume(n, r, h);
console.log(`The volume of a hexagonal cylinder with radius=${r} and height=${h} is ${volume.toFixed(2)}.`);
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