calculateVolumeCubeInSphere()

Step 1: Understanding the Context and Requirements

The first step is to understand what the task is about. You want to create a function in JavaScript that calculates the volume of a cube that can fit inside a sphere. The sphere volume can be calculated by using the formula 4/3πr³ (where r is the radius). And consequently, a cube that fits perfectly within the sphere, its side length will be twice the radius of the sphere, because the diameter of the sphere coincides with one side of the cube.

Step 2: Define Function and Parameters

Here, define our function calculateVolumeCubeInSphere with one parameter radius denoting the radius of the sphere.

function calculateVolumeCubeInSphere(radius) {
    // our code will go here
}

Step 3: Calculate Cube Side Length

Next, calculate the length of the cube's side which is twice the sphere's radius.

function calculateVolumeCubeInSphere(radius) {
    var cubeSideLength = 2 * radius;
}

Step 4: Calculate and Return the Volume of the Cube

Then, use the formula for the volume of a cube = side³ which equates to (2 * radius)³. Finally, return the calculated cube volume.

function calculateVolumeCubeInSphere(radius) {
    var cubeSideLength = 2 * radius;
    var cubeVolume = Math.pow(cubeSideLength, 3);
    return cubeVolume;
}

Step 5: Test the Function

It is always a good idea to test the function with different parameters to check whether it's working as expected.

console.log(calculateVolumeCubeInSphere(3)); //216
console.log(calculateVolumeCubeInSphere(4)); //512

Conclusion

Through these steps, we were able to build a function in JavaScript that calculates the maximum volume of a cube that can fit inside a sphere given the radius of the sphere.