calculateVolumeConeInCylinder()

Step 1: Define the function and parameters

The first step to creating our function is to define it, and decide on the necessary parameters. For the function calculateVolumeConeInCylinder, two parameters are necessary: the radius and the height of the cylinder, because the Volume of a cone within the cylinder will depend on these parameters.

In JavaScript, you can define a function using the function keyword, followed by your chosen function name and chosen parameters inside parentheses. Like so:

function calculateVolumeConeInCylinder(radius, height) {

}

Step 2: Calculate the volume of the cylinder

Inside our function, we first need to calculate the volume of the cylinder. The formula for the volume of a cylinder is V = πr^2h, where r is the radius, h is the height and π is a constant approximately equal to 3.14159.

Add the following lines inside the function:

  var pi = Math.PI;
  var volumeOfCylinder = pi * Math.pow(radius, 2) * height;

Step 3: Calculate the volume of the cone

The next step is to calculate the volume of a cone. A cone that fits perfectly within a cylinder will have the same base radius and height as the cylinder. The formula for the volume of a cone is V = 1/3(πr^2h).

Again, add the following lines to the function:

  var volumeOfCone = (1 / 3) * volumeOfCylinder;

Step 4: Return the result

The final step inside our function is to return the calculated volume of the cone. This will be the output when our function is called. This can be done using the return keyword:

  return volumeOfCone;

Step 5: Using the function

You can call and use the function calculateVolumeConeInCylinder by providing two arguments, the radius and the height of the cylinder. For example, to calculate the volume of a cone with radius 3 and height 5 you would call :

var volume = calculateVolumeConeInCylinder(3, 5);
console.log(volume);

Conclusion

Here is the full implementation of the function calculateVolumeConeInCylinder:

function calculateVolumeConeInCylinder(radius, height) {
  var pi = Math.PI;
  var volumeOfCylinder = pi * Math.pow(radius, 2) * height;
  var volumeOfCone = (1 / 3) * volumeOfCylinder;
  return volumeOfCone;
}

var volume = calculateVolumeConeInCylinder(3, 5);
console.log(volume);

This code will return the volume of a cone that perfectly fits within a cylinder with the same radius and height. The function is general enough to be re-used for any similar calculations.