//Alexnader Sage
//Date 11/13/11
//Hw6
//Purpose: to use an input radius and weight to decide whether or not the sphere floats

#include <iostream>
#include <math.h>      //making sure I can use the proper equations
using namespace std;

int main()
{

double V, r;             // The volume and radius of the sphere
static double d = 62.4;          //density of water 
static double pi = 3.14159;
double Fb, Fg;  // Fb is the force of boyance and Fg is the weight of the object 

cout << "What is the radius of the sphere in feet, \n";
cout << "and the mass of the sphere in pounds\n";
cin >> r >> Fg;
//cout << r << "\n";
//cout << Fg << "\n";


V = (4.0*pi*pow(r,3))/3.0; // volume of the sphere
Fb = V*d;            // force of boyance of the water onto the sphere

if ((Fg - Fb) > 0)  //  gravity is stronger than the force of boyance
    cout << "The sphere will sink in water\n";
 else if ((Fg - Fb) <= 0)  //The object isn't dense enough to sink
    cout << "The sphere will float on the water\n";

return 0;
}