TUBE: Definition, Characteristics, Elements, Properties, Formulas, Examples
Before you know what the formulas are in the tube shape, then you have to know what the meaning of the tube itself is, see the full review below.
Table of contents
Definition of Tube
The cylinder is a geometric figure composed of 3 sides, namely 2 circles of the same size and 1 rectangle that surrounds or surrounds the two circles.
The shape of the tube is also often referred to as a cylinder (in English "cylinder“).
Some tubular objects are cut wood, pipes, drums, bottles, bamboo and other similarly shaped objects.
Tube Features
The shape of the tube has several characteristics that distinguish it from other shapes, including:
- Has 2 ribs.
- It has a circular base and lid.
- Has 3 sides in the form of a base, cover and blanket.
Tube Elements
The various elements of the tube builder, including:
1. Tube side
The side of the tube is the plane that forms a tube. The side of the tube consists of two circles and one blanket.
2. Tube Blanket
Tube blanket is a field that covers the shape of the tube. Tube blankets have a rectangular shape.
3. Diameter
If one of the circular bases or lids is cut in the middle, it will be the same size, where the cut distance is called the diameter of the tube.
4. Fingers
The radius is half of the tube diameter.
The tube has three size parameters that can be calculated, namely circumference, area and volume.
Tube Properties
The following are the properties of the tube, the tube section and the tube nets, including:
- Composed of 3 sides, namely two circles of equal length and a quadrilateral.
- The 2 circles on the tube have a role as a tube cap and a tube base.
- The tube blanket is a rectangular shape that serves to surround the lid and base of the tube.
- The tube has no corner points.
- The tube has 2 ribs, namely the rib that surrounds the base and the lid of the tube.
- The radius of the tube is the length of the radius of the circle that forms a tube.
- The height of the tube is the distance that separates the two circles on the tube.
Tube Formula
Information:
- t = height
- radius (r) = d÷2
- diameter (d) = 2×r
- = 22/7 for fingers with multiples of 7 and 3.14 for fingers that are not multiples of 7.
| Name | Formula |
|---|---|
| Cylinder Volume Formula (V) | V = × r × r × t |
| V = × r² × t | |
| The formula for the surface area of a cylinder (L) | L = 2 × × r × (r + t) |
| Tube Cover Area Formula (Ls) | Ls = 2 × × r × t |
| Ls = × d × t | |
| The formula for the area of the base of the cylinder (La) | La = × r × r |
 |
 |
| The radius (r) is known Volume |  |
| Radius (r) is known Coverage Area |  |
| Radius (r) is known Surface Area |  |
| Height (t) is known Volume |  |
| Height (t) is known Coverage Area |  |
| Height (t) is known Surface Area |  |
Problems example
The following are examples of questions related to tubes, including:
1. A cylinder has a diameter of 14 cm and a height of 10 cm. Calculate:
a. Circumference of the tube base?
b. Tube surface area?
c. Tube volume?
Answer:
Is known:
The tube has a diameter of 14 cm, so the radius is 7 cm.
Discussion:
a. Tube Base Circumference
K= x d = 22/7 x 14 = 44 cm
b. Tube Surface Area
To calculate the surface area of the tube, it takes the area of the base and the area of the blanket, so:
Area of Base = x r2 = 22/7 x 72 = 154 cm²
Blanket Area = K x t = 44 x 10 = 440 cm²
So the surface area of the tube = (2 x Area of the Base) + Area of the Blanket = (2 x 154) + 440 = 308 + 440 = 748 cm²
c. Tube Volume
Volume = Area of Base x t = 154 x 10 = 1540 cm³
2. What is the volume of a cylinder with a diameter of 50 cm and a height of 66 cm?
Answer:
Is known:
Diameter = 50 cm, because r = 1/2 diameter then r = 25 cm
Height = 66 cm
Discussion:
Volume of Cylinder = x r² x t
= (22/7) x 25cm² x 66 cm
= (22/7) x 25 x 25 x 66
= (22/7) x 41250
= 129,642 cm³
3. A carpenter is cutting a piece of wood into a tube with a cross-sectional area of 350cm². The tube / cylinder of wood has a height of 45 cm. Calculate the volume of the tube or cylinder of the wood!
Answer:
Volume of cylinder = cross-sectional area of the base or circle x height
The volume of a wooden cylinder = 350 cm² x 45 cm = 15,750 cm³.
So the volume of the cylinder is 15,750 cm³.
4. If a cylinder is known to have a radius of 16 cm. Calculate the circumference of the base of the tube!
Answer:
Is known:
r = 16 cm
Asked:
K = …?
Discussion:
K = 2 x x r
K = 2 x 22/7 x 16
K = 704 / 7
K = 100.57 cm
So the circumference of the base of the tube is = 100.57 cm.
5. Find the radius of a cylinder with a height of 8 cm and a volume of 2512 cm³!
Answer:
Is known:
t = 8 cm
V = 2512 cm³
Asked:
Tube radius (r) …?
Discussion:
So the radius of the tube is 10 cm.
6. Find the height of the cylinder which has a radius of 10 cm and a volume of 2512 cm³!
Answer:
Is known:
r = 10 cm
V = 2512 cm³
Asked:
Tube height (t)…?
Discussion:
So the height of the tube is 8 cm.
7. Find the height of the cylinder which has a radius of 5 cm and a surface area of 314 cm²!
Answer:
Is known:
r = 5 cm
L = 314 cm²
Asked:
Tube height (t)…?
Discussion:
So the height of the tube is 5 cm.
8. Find the radius of a cylinder that has a height of 21 cm and a surface area of 628 cm²!
Answer:
Is known:
t = 21 cm
L = 628 cm²
Asked:
Tube radius (r) …?
Discussion:
The radius of the tube fulfills the following equation:
From the results of the equation factor can be tested
r = -25 cm cannot meet the requirements, because the resulting surface area will be negative or not equal to 628 cm².
r = 4 cm can meet the requirements, because the resulting surface area has a value of 628 cm².
So the radius of the tube is 4 cm.