calculateVolumeConeInSphere()

Step 1: Understand the Problem

Before we start writing any code, we must understand what we are trying to solve. In this case, we want to calculate the volume of a cone that is inside a sphere. The sphere's radius will be given as input to our function and our job is to calculate the volume of a cone that fits perfectly inside that sphere, in such a way that the diameter of the base of the cone and the height of the cone is equal to the diameter of the sphere.

To solve this, we need to know the formulas to calculate the volume of a sphere and a cone.

The volume of a cone is calculated using the formula:

V = 1/3 * π * r^2 * h

Where:

• V is the volume
• r is the radius
• h is the height
• π (Pi) approximates to 3.14159

The radius and the height of the cone would be equal to the radius of the sphere.

Step 2: Set Up the Function Structure

Now let's start translating that into javascript code. First, we set up the basic outline of our function:

function calculateVolumeConeInSphere(radius){
    // Our code will go here
}

Step 3: Calculate the Volume of the Cone

Next, we'll use our formula to calculate the volume of the cone:

function calculateVolumeConeInSphere(radius){
    const pi = 3.14159; // Our approximation of π
    let volumeCone = 1/3 * pi * Math.pow(radius, 2) * radius;
    return volumeCone;
}

Here, we're using the Math.pow function to raise the radius to the power of 2.

Step 4: Return the Result

Once we've calculated the cone's volume, all that's left to do is return that value. Since we're already doing that after calculating the volumeCone, our function is complete.

Here's the full implementation:

function calculateVolumeConeInSphere(radius){
    const pi = 3.14159; // Our approximation of π
    let volumeCone = 1/3 * pi * Math.pow(radius, 2) * radius;
    return volumeCone;
}

Conclusion

This function calculates and returns the volume of a cone that perfectly fits inside a sphere, given the sphere's radius. By understanding how the mathematical formulas translate into code, we have successfully implemented the function. This function can be used as a building block in more complex programs or applications that require geometric calculations.