Can someone help me with a C++ program?

Here's the thing, I have written 2 programs. One that converts inches to centimeters and one that converts cm to inches. Now I am writing a program that will provide you with a menu to choose which one you want to convert. The programs runs but only gives me a blank cmd screen. I am not sure what else I can do. I have tried rewriting it a different way but I get a bunch of errors. A little help would be great.

#include <iostream>

#include <iomanip>

using namespace std;

float inchestocentimeters(const float cmPerInch, float inch);

float centimeterstoinches(const float inchPerCm, float cm);

int main()

{

const float cmPerInch = 2.54, inchPerCm = 1.0;

float inch, cm;

char type;

cin >> type;

// Choose the type of conversion.

cout << "Select the measurement you want to convert from the list." << endl;

cout << "I)nches to centimeters." << endl;

cout << " OR " << endl;

cout << "C)entimeters to inches." << endl;

// Sets the decimal place.

cout << fixed << showpoint << setprecision(2);

// Uses if else statements to call the correct function.

if ((type == 'I')||(type == 'i'))

{

cout << "Enter the number of inches you would like to convert to centimeters.\n";

cin >> inch;

cout << inchestocentimeters(cmPerInch, inch);

cout << "The conversion in centimeters is " << cm << " cm" << endl;

}else if ((type == 'C')||(type == 'c'))

{

cout << " Enter the number of centimeters that you would like to convert to inches.\n";

cin >> cm;

cout << centimeterstoinches(inchPerCm, cm);

cout << "The conversion from centimeters to inches is " << inch << " inches" << endl;

}else

{

cout << "You have entered an invalid entry.\n";

cout << "You must choose 'I' to convert inches to centimeters.\n";

cout << "OR\n";

cout << "You must choose 'C' to convert centimeters to inches." << endl;

}

cout << "Press ENTER to end the program." << endl;

cin.ignore();

cin.get();

}

// This function will convert inches to centimeters.

float inchestocentimeters(const float cmPerInch, float inch)

{

return inch = cmPerInch * inch;

}

// This function will convert centimeters to inches.

float centimeterstoinches(const float inchPerCm, float cm)

{

return cm = inchPerCm * (cm * 0.3937008);

}