The formula for the circumference of the base of the cone with examples of the problem
Formula.co.id – After previously we discussed about perimeter of a rhombus this time we will discuss material about the formula for the circumference of the base of a cone, we will describe in detail and complete from understanding of cones, understanding of the base of a cone, properties of cones, elements, formulas, and examples of problems from the circumference cone.
Table of contents :
Definition of Cones
Cone is a special pyramid with a circular base. Cones have 2 sides and 1 rib. The perpendicular side of the cone is not a triangle but is an inclined plane called a conical blanket.
Another definition of a cone is a curved side space that resembles a regular n-sided pyramid whose base is a circle.
By rotating up to 360° from a B'BC, a cone can be made on a right triangle ABC about the AC axis as shown in the figure below.
Definition of the base of the cone
Cone base is the area of a circle with radius r so that the area pedestal is .r2
Characteristics of Cones
Cones have certain properties, which are as follows:
- Has 1 side of a circular base and 1 side in the form of a curved plane (conical blanket).
- Has 1 curved rib.
- Has no corner points.
- Has 1 vertex
Elements of Cones
Cones also have certain elements, namely:
- The side of the base is a circle centered at point A.
- AC is called the height of the cone.
- The radius of the circle of the base is AB and the diameter is BB' = 2AB.
- The hypotenuse of BC is called the apothem or painter's line.
- Cone blanket in the form of a curved plane.
The formula for the circumference of the base of a cone
The formula for the circumference of the base of the cone is as follows:
K = 2 r
The formula for the volume of the cone is as follows:
V = 1/3 r2 t
Example of questions about the circumference of the base of the cone
- Using 22/7 :
1. There is a cone that has a radius of 7 cm. find and calculate the circumference of the base of the cone!
Solution:
Is known: r = 7 cm
asked: K = …?
Answer:
- K = 2 r
- K = 2 x 22/7 x 7 cm
- K = 44 cm
So, The circumference of the base of the cone is = 44 cm
2. There is a cone that has a radius of 14 cm. find and calculate the circumference of the base of the cone!
Solution:
Is known: r = 14 cm
asked: K = …?
Answer:
- K = 2 r
- K = 2 x 22/7 x 14 cm
- K = 88 cm
So, The circumference of the base of the cone is = 88 cm
3. There is a cone that has a radius of 21 m. find and calculate the circumference of the base of the cone!
Solution:
Is known: r = 21 m
asked: K = …?
Answer:
- K = 2 r
- K = 2 x 22/7 x 21 m
- K = 132 m
So, The circumference of the base of the cone is = 132 m
4. There is a cone that has a radius of 28 m. find and calculate the circumference of the base of the cone!
Solution:
Is known: r = 28 m
asked: K = …?
Answer:
- K = 2 r
- K = 2 x 22/7 x 28 m
- K = 176 m
So, The circumference of the base of the cone is = 176 m
- Using 3.14 :
5. There is a cone that has a radius of 15 cm. find and calculate the circumference of the base of the cone!
Solution:
Is known: r = 15 cm
asked: K = …?
Answer:
- K = 2 r
- K = 2 x 3.14 x 15 cm
- K = 94,2 cm
So, The circumference of the base of the cone is = 94,2 cm
6. There is a cone that has a radius of 33 cm. find and calculate the circumference of the base of the cone!
Solution:
Is known: r = 33 cm
asked: K = …?
Answer:
- K = 2 r
- K = 2 x 3.14 x 33 cm
- K = 207,24 cm
So, The circumference of the base of the cone is = 207,24 cm
7. There is a cone that has a radius of 47 m. find and calculate the circumference of the base of the cone!
Solution:
Is known: r = 47 m
asked: K = …?
Answer:
- K = 2 r
- K = 2 x 3.14 x 47 m
- K = 295,16 m
So, The circumference of the base of the cone is = 295,16 m
This is a complete discussion on how to calculate the formula for the circumference of the base of a cone along with examples of questions and their discussion, hopefully it will be useful…
Related Circumference Formula:
- Circumference of the Tube Base
- Perimeter of Cube Base