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C Program: Surface Area of a Cone

Introduction (Cone Surface Area)

A cone is a 3D solid shape with a circular base tapering smoothly to a single point called the apex.
Examples include ice-cream cones, funnels, and party hats.

The surface area of a cone consists of:

1. Curved Surface Area (CSA):

πrl

where l = sqrt(r² + h²) is the slant height.

1. Total Surface Area (TSA):

πr ( r + l )

where

• r = radius of the base
• h = height of the cone
• l = slant height
• π (pi) ≈ 3.14159

In this program, we calculate the Total Surface Area (TSA).

C Program: Surface Area of a Cone

#include <stdio.h>
#include <math.h>    // For sqrt function
#define PI 3.14159   // Define constant PI
 
int main() {
    float radius, height, slant_height, surface_area;
 
    // Input radius and height
    printf("Enter the radius of the cone: ");
    scanf("%f", &radius);
 
    printf("Enter the height of the cone: ");
    scanf("%f", &height);
 
    // Calculate slant height using Pythagoras theorem
    slant_height = sqrt((radius * radius) + (height * height));
 
    // Calculate total surface area
    surface_area = PI * radius * (radius + slant_height);
 
    // Display result
    printf("Surface Area of Cone = %.2f\n", surface_area);
 
    return 0;
}
 

 
OUTPUT 1 :
Enter the radius of the cone: 3
Enter the height of the cone: 4
Surface Area of Cone = 75.40


OUTPUT 2 :
Enter the radius of the cone: 5
Enter the height of the cone: 12
Surface Area of Cone = 254.47

Explanation

1. Input radius and height of the cone.
2. Compute slant height using l = sqrt (r^2 + h^2)
3. Apply formula: π × r × (r + l).
4. Print the Total Surface Area up to two decimal places.