Definitions, Parts, and Example Problems

Definitions, Parts, and Example Problems
Definitions, Parts, and Example Problems

The definition of a cone is equipped with parts and sample questions that we will describe in a simple way so that you can easily understand them. For a more detailed discussion, see the explanation below.

Cone

Who here loves ice cream? Especially the ice cream that uses a cone. It’s very good, it’s cold and sweet. Well, has anyone ever thought about how much volume of ice cream should be filled into 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 lateral spaces. It has a flat base in the shape of a circle and a blanket connecting the base and the apex.

For a more detailed explanation, see the following ulsannya.

Definition

The definition of a 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.

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A cone can then be formed from a flat shape, namely a flat triangle, which is rotated one full rotation (360).), which is the side of the elbow as the center of rotation.

parts

Cones also have 3 important measurements that we will use to calculate their volume, namely:

jari-jaRhode Island

The base of the cone is in the shape of a circle. The radius or radius of a cone is the distance from the center point to the point on the base circle. The base diameter of a cone is a line segment joining two points on the base circle and through the center point. In a circle, the length of the diameter of the circle is equal to twice the length of the radius of the circle.

Height

It is the distance from the center of the base to the vertex of the cone. If we make a line segment connecting the center point of the base and the vertex, we get a line segment that is perpendicular to the plane of the base. The length of this line segment is also the height of the cone.

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Blanket

The cone blanket is a curved side that wraps around the cone. It is located between the base and the vertex. On the mantle 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.

Formula

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:

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V = ⅓ × πrtwo × t

with

  • V = Kerucut Volume
  • r = Jari – Jari down
  • t = cone height

In addition to volume, a cone also has a surface area that can be calculated just like its area. The formula for the surface area of ​​a cone is as follows:

L = πrtwo + rs

with

  • L = Surface area of ​​the cone
  • s = cone painter line

example 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?

Answer:

It is known:

I wanted: the surface area of ​​the cone ?

  • Cone blanket area = xrxs

= 22/7x6x10cmtwo

= 188 4/7cmtwo

  • Area of ​​the base of the cone = xrtwo

= 22/7 x 6twocmtwo

= 113 1/7cmtwo

  • Cone surface = 188 4/7cmtwo+113 1/7cmtwo