Question

Create the appropriate variables and algorithm to calculate the following. Choose your own values for the variables. Do not enter the code on this paper. Create a program that calculates and displays the calculation. Approximate pi (π) as 3.14159.

You do not need to create a new program for each question.

If certain math equations use the same variable name, then you only need to declare it once in your main function.

Separate each problem using comments, like seen in the example below.

Example 1: Area of a square/rectangle. Formula:

int main()

{

   // Example 1

float area, length, width;

length = 20;

width = 5;

area = length * width;

cout << "The area of a square with length " << length << " and width "

   << width << " is " << area << " square units.";

// Problem 1

// Problem 2

return 0;

}

1. Area of triangle.

2. Area of circle. Formula:

3. Area of rhombus. Formula:

4. Area of trapezoid. Formula:

5. Area of a parallelogram. Formula:

6. Volume of sphere. Formula:

7. Volume of cone. Formula:

8. Volume of cube. Formula:

9. Volume of cylinder. Formula:

10. Volume of square pyramid. Formula:

11. Volume of pyramid. Formula:

12. Perimeter of Rectangle. Formula:

13. Midpoint. Formula:

14. Calculate Absolute Value. i.e.:

15. Slope. Formula:

16. Parabola Axis of Symmetry. Formula:

17. Sum and Difference of Cubes.
    • Sum:
    • Difference:

Answer 1

Source Code::

#include<bits/stdc++.h>
using namespace std;
int main()
{
    float area,length,width,height,base,radius,diagonal1,diagonal2,smallbase,volume,edge,perimeter;
    float x1,x2,y1,y2,value,midpoint,symmetry,x,y,a,b,sum,difference;
    //area of rectangle and square
    length=20;width=5;
    area=length*width;
    cout<<"The area of rectangle with length "<<length<<" and width "<<width<<" is "<<area<<" square units.\n";
    length=width=20;    //square
    area=length*width;
    cout<<"The area of square with length "<<length<<" and width "<<width<<" is "<<area<<" square units.\n";
  
    //area of triangle
    height=10;base=10;
    area=(1/2)*height*base;
    cout<<"The area of triangle with base "<<base<<" and height "<<height<<" is "<<area<<" square units.\n";
  
    //area of circle
    radius=10;
    area=3.14159*radius*radius;
    cout<<"The area of circle with radius "<<radius<<" is "<<area<<" square units.\n";
  
    //area of rhombus
    diagonal1=10;diagonal2=10;
    area=(1/2)*diagonal1*diagonal2;
    cout<<"The area of rhombus with diagonals "<<diagonal1<<" and "<<diagonal2<<" is "<<area<<" square units.\n";
  
    //area of trapezoid
    base=30;height=50;
    area=(base+smallbase)*height/2;
    cout<<"The area of trapezoid with base "<<base<<" and height "<<height<<" and smallbase "<<smallbase<<" is "<<area<<" square units.\n";
  
    //area of parallelogram
    base=100;height=50;
    area=base*height;
    cout<<"The area of parallelogram with base "<<base<<" and height "<<height<<" is "<<area<<" square units.\n";
  
    //volume of sphere
    radius=10;
    volume=(4/3)*3.14159*radius*radius*radius;
    cout<<"The volume of sphere with radius "<<radius<<" is "<<volume<<" cubic units.\n";
  
    //volume of cone
    radius=100;height=50;
    volume=3.14159*radius*radius*height/3;
    cout<<"The volume of cone with radius "<<radius<<" and height "<<height<<" is "<<volume<<" cubic units.\n";
  
    //volume of cube
    edge=10;
    volume=edge*edge*edge;
    cout<<"The volume of cube with edge "<<edge<<" is "<<volume<<" cubic units.\n";
  
    //volume of cylinder
    radius=10;height=10;
    volume=3.14159*radius*radius*height;
    cout<<"The volume of cylinder with radius "<<radius<<" and height "<<height<<" is "<<volume<<" cubic units.\n";
  
    //volume of square pyramid
    edge=10;height=20;
    volume=edge*edge*height/3;
    cout<<"The volume of square pyramid with base edge "<<edge<<" and height "<<height<<" is "<<volume<<" cubic units.\n";
  
    //volume of pyramid
    length=10;width=10;height=10;
    volume=length*width*height/3;
    cout<<"The volume of pyramid with length "<<length<<" and height "<<height<<" and width "<<width<<" is "<<volume<<" cubic units.\n";
  
    //perimeter of rectangle
    length=10;width=10;
    perimeter=2*(length+width);
    cout<<"The perimeter of rectangle with lenght "<<length<<" and width "<<width<<" is "<<perimeter<<" units\n";
  
    //midpoint
    x1=1;x2=2;y1=2;y2=3;
    cout<<"The midpoint is at ("<<(x1+x2)/2<<" , "<<(y1+y2)/2<<")\n";
  
    //Absolute value
    value=-100;
    cout<<"The Absolute value of value "<<value<<" is "<<fabs(value)<<" unit\n";
  
    //slope
    x1=1;x2=2;y1=2;y2=3;
    cout<<"The slope is "<<(y2-y1)/(x2-x1)<<endl;
  
    //symmetry of parabola
    b=10;a=10;
    symmetry=(-b)/(2*a);
    cout<<"The symmetry of parabola is "<<symmetry<<endl;
  
    //sum and difference of cube
    x=10;y=10;
    sum=(x+y)*(x*x-x*y+y*y);
    difference=(x-y)*(x*x+x*y+y*y);
    cout<<"The sum of cube with x "<<x<<" and y "<<y<<" is "<<sum<<" cubic units\n";
    cout<<"The difference of cube with x "<<x<<" and y "<<y<<" is "<<difference<<" cubic units\n";
    return 0;
}

OUTPUT::