Here's one way you could find the volume of a regular polygon circumscribed around a cylinder in Python:
main.py869 chars33 lines
This function takes in three arguments - n
(the number of sides of the regular polygon), r
(the radius of the cylinder), and h
(the height of the cylinder) - and calculates the volume of the cylinder with the circumscribed polygon.
It finds the length of one side of the polygon using the formula s = 2 * r * sin(pi/n)
, the apothem using the formula a = r * cos(pi/n)
, and the perimeter using p = n * s
. It then calculates the area of the base and lateral surface of the cylinder, adds them together and then uses the apothem and total surface area to find the volume of the circumscribed polygon, which is added to the cylinder volume to give the final answer.
gistlibby LogSnag