calculateSurfaceAreaCone()

Step 1: Define the Method Signature

To calculate the surface area of a cone, we will create a method named calculateSurfaceAreaCone. This method will take two parameters: the radius of the base(radius) and the slant height(slantHeight). Both parameters will be of type double to accommodate decimal values.

Below is our method signature:

public static double calculateSurfaceAreaCone(double radius, double slantHeight){

}

Step 2: Calculate Base Area

The area of the cone's base can be calculated using the formula π*radius*radius. We will calculate this and store it in a variable named baseArea.

public static double calculateSurfaceAreaCone(double radius, double slantHeight){
   double baseArea = Math.PI * radius * radius;
}

Step 3: Calculate Lateral Area

The lateral area of the cone can be calculated using the formula π*radius*slantHeight. We will calculate this and store it in a variable named lateralArea.

public static double calculateSurfaceAreaCone(double radius, double slantHeight){
   double baseArea = Math.PI * radius * radius;
   double lateralArea = Math.PI * radius * slantHeight;
}

Step 4: Calculate Total Surface Area

The total surface area of a cone is the sum of the base area and the lateral area. We will add these two quantities and return the result.

public static double calculateSurfaceAreaCone(double radius, double slantHeight){
   double baseArea = Math.PI * radius * radius;
   double lateralArea = Math.PI * radius * slantHeight;
   return baseArea + lateralArea;
}

Step 5: Conclusion

We've now completed our function to calculate the surface area of a cone. Our function takes in two parameters (the radius of the base and the slant height), and returns the surface area.

Here's our complete code:

public class Main {
   public static void main(String[] args) {
       double surfaceArea = calculateSurfaceAreaCone(5, 10);
       System.out.println("Surface area of the cone is: " + surfaceArea);
   }

   public static double calculateSurfaceAreaCone(double radius, double slantHeight) {
       double baseArea = Math.PI * radius * radius;
       double lateralArea = Math.PI * radius * slantHeight;
       return baseArea + lateralArea;
   }
}