Authors:
Walter Savitch ,kenrick Mock
Chapter:
Flow Of Control
Exercise:
Programming Projects
Question:6 | ISBN:9780132846813 | Edition: 5
Question
Buoyancy is the ability of an object to float. Archimedes’ Principle states that the buoyant force is equal to the weight of the fluid that is displaced by the submerged object. The buoyant force can be computed by
where
is the buoyant force,
is the volume of the submerged object, and
is the specific weight of the fluid. If
is greater than or equal to the weight of the object, then it will
float, otherwise it will sink. Write a program that inputs the weight
(in pounds) and radius (in feet) of a sphere and outputs whether the
sphere will sink or float in water. Use
=
62.4 lb/ft3
as the specific weight of water. The volume of a sphere is computed
by (4/3)∏r3.
Answer
#include <iostream>
using namespace std;
int main()
{
//Variables
double weight,radius,Fb;
//User input
cout<<"Enter weight(pounds):";
cin>>weight;
cout<<"Enter radius(feet): ";
cin>>radius;
//Compute buoyant force by using
//the volume of a sphere is computed by (4/3)πr3
Fb =62.4*((4 *3.14 * radius * radius * radius )/3);
//Print Output
//If Fb is greater than or equal to the weight
//of the object, then it will float, otherwise
//it will sink.
if(Fb>=weight)
cout<<"The sphere will float in water \n";
else cout<<"The sphere will sink in water \n";
}
Result output:
Enter weight(pounds):85
Enter radius(feet): 10
The sphere will float in water