Brilio.net – A cone is a three-dimensional shape that has curved sides in the shape of a cone or trunic cone. The characteristic of a cone is that it has one flat side called the base of the cone, has a circular shape, and all sides that connect points on the edge of the base circle with one vertex are called the top of the cone.
The common shapes of cones that you can find in everyday life include birthday hats, hats, ice cream cones, tumpeng and so on. Calculating the surface area of a cone is quite complex. The reason is that you need to pay attention to each value of the sides, circumference of the cone and base in order to find the surface area result.
So, here is the formula for the surface area of a cone, complete with example questions and easy-to-understand discussions, reported by brilio.net from various sources on Wednesday (6/9).
Understanding the surface area of a cone.
photo: Special
The surface area of a cone is the sum of the base area and the surface area of the cone. A cone is a geometric shape that has a circular base and curved sides that meet at a point called the vertex.
Cones have several types, such as erect cones, pointed cones, and convex cones. The general formula for calculating the surface area of a cone is as follows:
L = πr(r + s)
Where:
L is the surface area of the cone
π is a constant whose value is approximately 3.14 or 22/7,
r is the radius of the base of the cone, and
s is the painter’s line or the length of the vertical side of the cone
-photo: Special
However, this formula must be adjusted to the type of cone. For example, if the cone is truncated, then the surface area of the cone is:
L = πR(R + S) + πr(r + s)−πRr
Where R and S are the radius and painter’s line of the top of the truncated cone
The surface area of a cone includes two main components:
1. The surface area of the blanket (Lateral), which includes the area of the curved sides (the sides that circle the cone). The surface area of a blanket is usually calculated by combining the areas of all curved edges.
2. The base surface area is the area of the circle which is the base or base of the cone.
To calculate the surface area of a cone, you can use a formula that corresponds to the cone parameters. Details of using the cone formula:
If only the base radius and painter’s line have values then the cone formula is.
Blanket Surface Area (Lateral) = π × r × l
Base Surface Area = π × r²
Surface Area of a Cone = Surface Area of the Blanket + Surface Area of the Base
Where:
– π (pi) is a mathematical constant that approximates 3.14159.
– r is the base radius of the cone.
– l is the length of the painter’s line (generatrix), which is a straight line connecting the top of the cone to the edge of the base circle.
(brl/lea)