calculateVolumeSphereInCylinder()

Step 1: Understand the Problem

The first step to writing this function is to understand what it's trying to accomplish. The purpose of this function is to compute the volume of a sphere that is inside a cylinder. Both the sphere and the cylinder share the same radius (r), but the cylinder has a height (h). The formula to calculate the volume of a sphere is 4/3 * π * r^3 and the volume of a Cylinder is π * r^2 * h.

Step 2: Create the Function Shell

Now that we understand the problem, we will define our function in JavaScript as calculateVolumeSphereInCylinder(radius, height), where radius is the radius of both the sphere and the cylinder and height is the height of the cylinder.

function calculateVolumeSphereInCylinder(radius, height) {

}

Step 3: Calculate the Volume of Cylinder

Inside this function, we'll first calculate the volume of the cylinder using the formula π * r^2 * h. The JavaScript Math object contains a constant Math.PI which equals π, and the Math.pow(r,2) function raises r to the power of 2.

function calculateVolumeSphereInCylinder(radius, height) {
    var volumeCylinder = Math.PI * Math.pow(radius, 2) * height;
}

Step 4: Calculate the Volume of Sphere

Next, we'll calculate the volume of the sphere by using the formula 4/3 * π * r^3. The Math.pow(r,3) function raises r to the power of 3.

function calculateVolumeSphereInCylinder(radius, height) {
    var volumeCylinder = Math.PI * Math.pow(radius, 2) * height;
    var volumeSphere = 4/3 * Math.PI * Math.pow(radius, 3);
}

Step 5: Return the Final Result

The final step is to return the difference between the volume of the cylinder and the sphere. This can be accomplished simply by subtracting volumeSphere from volumeCylinder.

function calculateVolumeSphereInCylinder(radius, height) {
    var volumeCylinder = Math.PI * Math.pow(radius, 2) * height;
    var volumeSphere = 4/3 * Math.PI * Math.pow(radius, 3);
    return volumeCylinder - volumeSphere;
}

Conclusion

And there you have it! We've created a function that takes the radius and height as inputs and returns the remaining volume in the cylinder once the sphere is removed from it. This function uses basic mathematical formulas and principles in geometry. This simple task demonstrates how we can solve real-world problems using programming.