#include<iostream>

using namespace std;


bool isValidDimensions(double x, double y)
{
	if ((x < 1 || x > 20) || (y<0.1 || y>1)){
		return false;
	}

	else
	{

		return true;
	}

}

double eval_volume(double x, double y)
{

	double volume;

	volume = 3.1415 * ((y / 2) * (y / 2)) * x;

	return volume;
}

double eval_weight(double x, double y)
{
	double weight;

	weight = x / y;
	return weight;
}

bool wedge_or_cylinder(double x, double y)
{
	if (y - x > 0.01)
	{
		return true; //shard is wedge
	}
	else
	{
		return false;
	}

}

int main()

{
	double length = 0;
	double diameter = 0;
	double act_weight = 0;
	double est_volume = 0;
	double est_weight = 0;

	cout << "Enter the length:" << endl;
	cin >> length;
	cout << "Enter the diameter" << endl;
	cin >> diameter;
	cout << "Enter the actual weight:" << endl;
	cin >> act_weight;

	if (!isValidDimensions(length, diameter))
	{
		cout << "Dimensions are not valid";
	}
	else
	{
		// estimate volume
		est_volume = eval_volume(length, diameter);
		 cout << "volume is: " << est_volume << endl;


		// estimate weight, density 0.05
		est_weight = eval_weight(est_volume, 0.05);
		cout << "Weight:" << est_weight << endl;
		// display if wedge or cylinder
		cout << "Wedge or Cylinder?\n";


		if (wedge_or_cylinder(est_weight, act_weight))
		{
			cout << "wedge";
		}
		else
		{
			cout << "cylinder";
		}

	}
	return 0;
}