Cone Surface Area Calculator

Radius (r):

Height (h):

Circumference (c, cm): Circumference (c, m): Circumference (c, in): Circumference (c, ft):

Slant Height (l, cm): Slant Height (l, m): Slant Height (l, in): Slant Height (l, ft):

Surface Area (cm²): Surface Area (m²): Surface Area (mm²): Surface Area (in²): Surface Area (ft²):

1. What is a Cone Surface Area Calculator?

Definition: This calculator computes the total surface area, circumference, and slant height of a right circular cone using its radius (r) and height (h).

Purpose: Useful for geometry, engineering, and design applications, such as calculating material needed to cover a cone (e.g., for conical roofs, ice cream cones, or traffic cones).

2. How Does the Calculator Work?

Formulas:

Circumference (c): \( c = 2 \pi r \)
Slant Height (l): \( l = \sqrt{r^2 + h^2} \)
Total Surface Area (SA): \( SA = \pi r (r + l) \)

Explanation: Inputs are converted to meters, and the circumference, slant height, and total surface area are calculated. Circumference and slant height are converted to cm, m, in, and ft; surface area is converted to cm², m², mm², in², and ft².

3. Importance of Cone Surface Area Calculation

Details: Essential for determining material requirements, such as fabric or metal, for constructing conical objects, and for understanding geometric properties in design.

4. Using the Calculator

Tips: Enter radius (r) and height (h) in units (mm, cm, m, in, ft; >0). Results include circumference (c) and slant height (l) in cm, m, in, ft, and total surface area (SA) in cm², m², mm², in², and ft².