calculateSurfaceAreaCone()

Step 1: Understand the problem

The first step in coding is to understand the problem. We need to write a JavaScript function to calculate the surface area of a cone. The formula to compute this is A = πr(r + √(h² + r²)) where A is the surface area, r is the radius of the base and h is the height of the cone.

function calculateSurfaceAreaCone(radius, height) {
  // For now the function does nothing
}

Step 2: Implement the formula

We need to calculate the square root of the sum of the square of the height and the square of the radius. In JavaScript, we can use Math.sqrt() for the square root and Math.pow() for the square.

function calculateSurfaceAreaCone(radius, height) {
  let sqrtPart = Math.sqrt(Math.pow(height, 2) + Math.pow(radius, 2));
}

Step 3: Implement the rest of the formula

Now we can continue with the formula A = πr(r + √(h² + r²)).

function calculateSurfaceAreaCone(radius, height) {
  let sqrtPart = Math.sqrt(Math.pow(height, 2) + Math.pow(radius, 2));
  let area = Math.PI * radius * (radius + sqrtPart);
}

Step 4: Return the result

Finally, we need to return the calculated surface area from our function.

function calculateSurfaceAreaCone(radius, height) {
  let sqrtPart = Math.sqrt(Math.pow(height, 2) + Math.pow(radius, 2));
  let area = Math.PI * radius * (radius + sqrtPart);
  return area;
}

Conclusion

We have successfully written a function to calculate the surface area of a cone. This function takes in the radius and height of the cone as arguments, computes the surface area using the appropriate mathematical formula and returns the computed value.

Here's the final implementation of the function:

function calculateSurfaceAreaCone(radius, height) {
  let sqrtPart = Math.sqrt(Math.pow(height, 2) + Math.pow(radius, 2));
  let area = Math.PI * radius * (radius + sqrtPart);
  return area;
}