The definition of a cone is equipped with parts and example questions that we will describe in a simple way so that you can understand them easily. For a more in-depth discussion, see the explanation below.
Who here loves ice cream? Especially the ice cream that uses a cone. It’s very good, it’s cold and sweet too. Well, has anyone ever thought about how much volume of ice cream should be put in a cone until it’s full? Does anyone know how to calculate the volume of this ice cream?
Before we dive into the formula for the volume of a cone and also how to find it, let’s find out what a cone is. A cone is one of the curved side spaces. It has a flat base in the shape of a circle and a blanket that connects the base and the apex.
For further explanation, see the following ulsannya.
The definition of the cone itself is a three-dimensional shape in the form of a special pyramid that is based on a circle, and a cone also has 2 sides and 1 edge.
So a cone can be formed from a flat shape, i.e. a flat triangle, which is rotated one complete rotation (360°).), which is the side of the elbow as the center of rotation.
Cones also have 3 important measurements that we will use to calculate their volume, namely:
The base of the cone is shaped like a circle. The radius or radius of a cone is the distance from the center point to the point on the base circle. The diameter of the base of a cone is a line segment that joins two points on the base circle and passes through the center point. In a circle, the length of the circle’s diameter is equal to twice the length of the circle’s radius.
It is the distance from the center of the base to the apex of the cone. If we make a line segment connecting the base midpoint and the vertex, we get a line segment perpendicular to the base plane. The length of this line segment is also the height of the cone.
Cone blanket is a curved side, wrapping around the cone. It is located between the base and the apex. On the blanket of cones there is a painter’s line. The painter’s line is a line that represents the outermost part of the cone blanket. The painter’s line, the height of the cone, and the radius of the cone form a right triangle.
After knowing what a cone is, we will now know that a cone is a shape.
Therefore, the cone must have volume. The volume of a cone can be calculated by multiplying the area of the base of the cone (area of the circle) by the height of the cone which is formulated as follows:
V = ⅓ × πrtwo × t
- V = Kerucut Volume
- r = Jari – Jari down
- t = cone height
In addition to volume, a cone also has a surface that can be calculated as well as its area. The formula for the surface area of a cone is as follows:
L = πrtwo + πrs
- L = Cone Surface Area
- s = Cone Painter Line
example of problems
Find a cone whose base is 12 cm in diameter. So the length of the painter’s line is 10 cm, so calculate the surface area of the cone?
It is known:
Wanted: the surface area of the cone?
- Cone blanket area = xrxs
= 22/7 x 6 x 10 cmtwo
= 188 4/7 cmtwo
- Area of cone base = xrtwo
= 7/22 x 6twocmtwo
= 113 1/7 cmtwo
- Cone surface area = 188 4/7cmtwo+113 1/7 cmtwo