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

To find the volume of a regular polygon inscribed in a cylinder, you can follow these steps:

1. First, determine the area of the base of the cylinder using its radius and the formula for the area of a circle: A = πr^2
2. Next, calculate the perimeter of the regular polygon using its number of sides and the length of each side: P = ns
3. Then, calculate the apothem of the polygon, which is the distance from the center of the polygon to the midpoint of one of its sides: a = (s / 2) * tan(π / n)
4. Finally, use the formula for the volume of a cylinder: V = Ah, where A is the area of the base and h is the height of the polygon, which is the same as the height of the cylinder

Here's the PHP code to implement these steps:

main.php
<?php

$n = 6; // number of sides of the regular polygon
$r = 3; // radius of the cylinder
$s = 2 * $r * sin(pi() / $n); // length of each side of polygon
$A_base = pi() * $r * $r; // area of base of cylinder
$P = $n * $s; // perimeter of polygon
$a = ($s / 2) * tan(pi() / $n); // apothem of polygon
$h = $P * $a / 2; // height of polygon, same as height of cylinder
$V = $A_base * $h; // volume of cylinder

echo "The volume of the regular polygon inscribed in the cylinder is: " . $V;

?>
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