The formula for calculating the surface area of a tube without a lid
The formula for calculating the surface area of a tube without a lid – How to calculate the surface area of a tube without a lid?, On this occasion About the knowledge.co.id will discuss it and of course other formulas that also cover it. Let's look at the discussion together in the article below to better understand it.
The formula for calculating the surface area of a tube without a lid
There are 7 types of geometric shapes, including the tube. A cylinder is a three-dimensional figure that has a lid and a base in the form of a circle of the same size as that covered by a rectangle. Tubes are also called cylinders.
The tube is a geometric shape that has three sides, namely two circular sides and one curved side. The two sides of the circle on the tube become the base and lid of the tube. The curved side of the tube is the tube cover.
If the curved side of the tube is opened, it will form a rectangular shape. The entire surface area of the cylinder can be calculated using the formula for the surface area of the cylinder. Meanwhile, to find out the capacity of the tube can use the volume formula of the tube.
There are three cylinder formulas that you need to know, namely the cylinder volume formula, the cylinder surface area formula, and the cylinder surface area formula without a lid. If the cylinder chamber shape like the picture above is opened, it will become a tube net.
Tube Building Properties
The characteristics of the tube include:
- Has 2 (two) curved ribs.
- It has a circular base and lid, each of which is the same size.
- It has 3 (three) sides, including two circular sides and one rectangular blanket.
- Has no corner points
Tube Types
There are 2 types of tubes viz
Closed Tube
Closed tube is a tube that has all the planes and sides closed.
Open Tube
Open Tube is a tube in which one side of the base or the side of the roof is open and even both of the sides of the base and the side of the roof are also open.
The formula for calculating the area and volume of a cylinder
In short, the tube formula is:
Circumference of the Tube Base = 2πr
Cylinder Volume (V) = πr²t
Tube Area (L) = 2πr²
Information:
V = Tube volume (cm3)
π = 22/7 or 3.14
r = radius / half diameter (cm)
t = Height (cm)
The formula for the surface area of a tube
The surface area of the tube is an area of the number of sides that the tube has. The number of sides of a tube is equal to the shape of the tube. The forming plane consists of two circles which are the base and lid, and a rectangular cylindrical blanket. This surface area has an influence on the size of a tube.
The formula for the surface area of a cylinder can be found using a tube net. The tube net consists of:
Close and top the circular tube with a radius (r), so the formula for the area of a circle = 2πr². For his fingers can use π= 22/7 or 3,14.
The curved part is rectangular with the length of the tube having the formula for the circumference of the base of the tube which is 2πr and the width of the tube which has the formula for area 2πrt.
Based on the review of the tube area formula, it can be concluded:
The formula for the area of the lid and the base of the cylinder is πr² + πr² = 2πr²
The formula for the cylinder cover area is p (base circumference) x l (tube height) = 2πr x t = 2πrt
Then, the formula for the surface area of the cylinder is = Cover area + base + cylinder cover = 2πr²+2πrt = 2πr (r+t)
The formula for the surface area of a tube without a lid
The surface area of the tube without a lid is a surface area that is almost equal to the surface area tube, differ only in terms of the lid, the surface area without the lid of this tube does not exist he closed. Because it does not have a lid, the area of the closed tube in the form of a circle is not counted.
The formula for the area of the tube cap: 2πr
The formula for the area of the cylinder base: 2πr
The formula for the area of a cylinder cover: 2πr²t
Because it is without a lid, the formula for the surface area of a tube without a lid can be summed up as follows:
Area of cylinder without lid = π x r2 + 2 x π x r x t = π x r (r + 2t)
- Cylinder Volume Formula
The formula for the volume of a cylinder is the product of the height and the area of the base of the cylinder. A cylindrical shape has a circular base and lid, so to calculate the volume, simply multiply the height by the area of the base. The following is the formula for the volume of a cylinder:
Cylinder Volume = πr²t
- Circumference Formula of Tube Base
Because the base of the tube is circular, the formula for the circumference of the base of the tube is:
Circumference of base = 2πr
- Formula for the Area of Nets of Tubes
L = base x height = a x t
- Conical Concatenated Formula
In addition to the formulas above, there are also combination formulas between cylinders and other shapes, such as a combination of a tube and a cone, a combination of a tube and a half circle, and a combination of a tube and a circle. Here is the combined formula:
- Cone and cylinder combined formula
The formula for the combined volume of a cylinder and a cone is ( π.r².t )+( 1/3.π.r².t )
The formula for the combined area of a cylinder and a cone is (π.r²)+(2.π.r.t)+(π.r.s)
- Combined cylinder and hemispherical formula
The formula for the combined volume of a cylinder and a half sphere is π.r².t+2/3. π.r3
The formula for the combined area of a cylinder and a hemisphere (π.r²)+(2.π.r.t)+(½.4.n.r²) = (3.π.r²)+(2. π .r.t)
- Combined tube and sphere formula
The formula for the combined volume of a cylinder and a sphere is (π.r².t)+(4/3. π.r3)
The formula for the combined area of a cylinder and a sphere is (2. π.r²)+(4. π.r²) = π.r²
Examples of Tube Problems and their Discussion
Problem 1
What is the volume of a cylinder that has a diameter of 60 cm and a height of 70 cm?
Answer :
diameter = 60 cm, because r = 1/2 diameter then r = 30 cm
height = 70 cm
Cylinder Volume = π x r² x t
= (22/7) x 30² x 70
= (22/7) x 30 x 30 x 70
= (22/7) x 63000
= 198,000 cm³.
A carpenter cuts a piece of wood into a cylinder or cylinder with a cross-sectional area of 250 cm². The wooden tube or cylinder has a height of 35 cm. Calculate the volume of the cylinder or cylinder of wood:
Answer :
Cylinder volume = cross-sectional area of the base or circle x height
The volume of the wooden cylinder = 250 cm² x 35 cm = 8750 cm³.
So, the volume of the cylinder is 8750 cm³.
An oil seller has a cylindrical drum which he uses to store his oil. The base radius of the drum is 70cm and has a height of 100cm. How many liters of oil can be accommodated in the drum?
Answer: V = π r² x height
V = 22/7 x 70² x 100
V = 1,540,000 cm³ = 1. 540 dm3 = 1540 liters
So it can be concluded that the amount of oil that can be accommodated in the drum is 1,540 liters.
Question 2
A cylinder has a diameter and a height of 20 and 16 respectively. What is the surface area of the tube?
Answer :
Is known:
d = 20, r = 10
t = 16
Answer:
The formula for the surface area of a cylinder = 2πr (r+t)
2πr (r+t)
=2 × 22/7× 10 (10 + 16)
=1634,28
Problem 3
If it is known that a cylinder has r = 14 and a height of 30. Determine the area of the cylinder cover:
Answer :
The formula for the area of a cylinder cover: 2πrt
= 2 × 22/7 × 14 × 30
= 2 x 1320
= 2640
Problem 4
If there is a cylinder which is known to have a radius of 18 cm. Find and calculate the circumference of the base of the cylinder:
Resolution:
Is known :
r = 18 cm
Asked: K = …?
Answer :
K = 2 x π x r
K = 2 x 22/7 x 18
K = 792 / 7
K = 113.14 cm
So, the circumference of the base of the cylinder is 113.14 cm
Problem 5
A cylinder has a diameter of 20 cm and a height of 24 cm. What is the surface area of the tube without the lid?
Answer:
The formula for the surface area of a cylinder without a lid = π x r (r + 2t)
= 3.14 x 10 x (10 x 2 x 24)
= 3.14 x 10 x (10 x 48)
= 3.14 x 10 x 480
= 15.072 cm2
So, the surface area of the cylinder without the lid is 15.072 cm2
Thus the review from About the knowledge.co.id about The formula for calculating the surface area of a tube without a lid , hopefully can add to your insight and knowledge. Thank you for visiting and don't forget to read other articles.
List of contents
Recommendation:
- Pascal's Law: Definition, Formula, Application, Working Principle,… Pascal's Law: Definition, Formulas, Application, Working Principles, Example Problems - In this discussion we will explain Pascal's law. Which includes the notion of Pascal's law, the sound of Pascal's law, the formula…
- Movement System in Humans: Bones, Joints, Muscles,… Movement System in Humans: Bones, Joints, Muscles, Functions, Abnormalities and Disturbances - What are the systems motion in the human body?, On this occasion, Se regarding the knowledge.co.id will discuss it and of course about…
- Cube: Elements, Properties, Volume and Surface Area Formulas and… Cubes: Elements, Properties, Volume and Surface Area Formulas and Examples of Problems - How to calculate volume and the surface area of a cube? And…
- Microscope Images: Definition, History, Types, Parts, How to… Microscope Images: Definition, History, Types, Parts, How Microscopes Work and Care - How close are they do you recognize the shape and function of a microscope? At this time, about the knowledge Microscope…
- Plant Strengthening Tissues: Definition, Collenchyma,… Plant Strengthening Tissues: Definition, Collenchyma, Sclerenchyma, Characteristics, Types and Structures - What are the tissues plant boosters and the differences? other thing…
- Nemathelminthes: Definition, Characteristics, Classification, Physiology… Nemathelminthes: Definition, Characteristics, Classification, Physiology and Role - What is Nemathelminthes? In general, nemathelminthes are animals whose entire members consist of various roundworms with an elongated cylindrical body shape, not segmented.
- The Function of the Ovum: The Definition of the Octar and the Functions of the Part… Functions of Ovules: Definition of Ovules and Functions of Flower Parts - What is the function of ovules? On this occasion, Seputarknowledge.co.id will discuss them and of course things that also…
- 7 Easiest and Free Online Image Resizing aroundknowledge.co.id - Image Resizing - Your company photo is very important to gain customer trust and generate more sales. In one study, 91% of consumers said they preferred content…
- Optical Instruments: Definition, Functions, Types and Parts Optical Instruments: Definition, Functions, Types and Parts - What are optical devices and what are their types? On this occasion, Seputarknowledge.co.id will discuss it and of course other things that...
- Friendship Short Stories: Definition, Writing Tips and Examples Friendship Short Stories: Definition, Writing Tips and Examples - What are Friendship Short Stories like? On this occasion, Seputarknowledge.co.id will discuss whether it is the Short Story of Friendship and other things about it. Let's see together…
- 2 Dimensional Art Works: Definition, Techniques, Elements, Media… 2 Dimensional Art Works: Definition, Techniques, Elements, Media and Examples - What is meant by 2 Dimensional Art Works?
- Qiyas: Definition, Pillars, Propositions, Elements, Conditions and… Qiyas: Definition, Pillars, Postulates, Elements, Terms and Distribution - What is meant by Qiyas? On this occasion, Seputarknowledge.co.id will discuss it and of course other things that also cover it. Let…
- Examples of Scientific Work: Functions and Rules of Language Examples of Scientific Papers: Functions and Rules of Language - What are examples of good and correct forms of writing scientific papers? Previously, Seputar the knowledge.co.id has discussed Scientific Work: Definition, Characteristics, Benefits,…
- Definition of Pressure: Types of Pressure, Formulas and Example Problems Definition of Pressure: Types of Pressure, Formulas and Example Problems - What is Pressure? At On this occasion, around the knowledge.co.id, we will discuss what pressure is and what other elements are covered it. Let's see…
- How Plants Protect Themselves: Kinds and Examples How Plants Protect Themselves: Kinds and Examples - What are the ways of some plants to protect themselves themselves from the threat of intruders? On this occasion, Around the Knowledge.co.id will discuss it and Of course…
- Megalithic: Definition, Characteristics, Belief Systems and… Megalithic: Definition, Characteristics, Belief Systems and Legacy - What is meant by Megalithic and when did it occur? On this occasion, Seputarknowledge.co.id will discuss what is Megalithic and other things...
- Arc Length Formula: Examples of Problems and Solutions Arc Length Formula: Examples of Problems and Solutions - How to measure the length of a circular arc with the formula? On this occasion, Seputarknowledge.co.id will discuss the arc length formula along with examples of problems. Let's look at the discussion together...
- Definition of Fine Arts and Its Types (Complete Discussion) Definition of Fine Arts and Its Types (Full Discussion) - In this discussion, Around Knowledge will briefly discuss the meaning of art and the types of art Alone. Let's see…
- Inclined Plane: Definition, Formulas, Mechanical Advantage And… Oblique Plane: Definition, Formulas, Mechanical Advantages and Examples of Problems - What is meant by plane oblique and how to calculate the physics? naturally…
- Specific Gravity: Definition, Formula, Use and Difference… Specific Gravity: Definition, Formula, Use and Difference with Density - What is meant by Specific Gravity and What is the Unit Formula? discuss it...
- The Political Life of the Majapahit Empire: Early History and… The Political Life of the Majapahit Kingdom: Early History and Legacy - How was the Political Life of the Kingdom Majapahit? On this occasion, Seputarknowledge.co.id will discuss the Majapahit Kingdom and other things covered it. Let's look at the discussion together...
- √ Definition of Work Climate, Dimensions and Influences… Definition of Work Climate, Dimensions and Influences (Complete) - In this discussion we will explain about Work Climate. Which includes the understanding, dimensions and influence of the work climate with a complete and easy discussion...
- √ Definition of Typography, Functions, Elements & Their Classification… Definition of Typography, Functions, Elements & Classification (Complete) – On this occasion, About Knowledge will discuss Typography. Which in this discussion explains the meaning of typography, functions, elements and their classification with…
- Moment of Inertia: Definition, Factors, Equations of Forms… Moment of Inertia: Definition, Factors, Equations in Forms of Objects and Example Problems - What is meant with the Moment of Inertia?, On this occasion, Se regarding the knowledge.co.id will discuss it and of course about matter…
- Pre-literate Age: Definition, Age Division, Types… Pre-literate Age: Definition, Age Division, Types of Humans, and Their Legacy - What is meant by The Age of Pre-literacy? On this occasion, Around the Knowledge.co.id will discuss what is the Age of Pre-literacy and other things Which…
- Motivational short stories: definition, writing tips and examples Motivational Short Stories: Definition, Writing Tips and Examples - What is a Motivational Short Story?, On On this occasion, Seputarknowledge.co.id will discuss whether it is the Short Story of Friendship and other matters about it. Let's see…
- Unit Conversion: Definition, Factor, Length, Mass, Time,… Unit Conversion: Definition, Factor, Length, Mass, Time, Volume and Pressure - What is unit conversion?, On this occasion, Seputarknowledge.co.id will discuss it, including factors, types and of course other things Which…
- Types of Drones, Terms, Parts, Basic Principles And… Types of Drones, Terms, Parts, Basic Principles and Movement - What are the types of drones and function?, On this occasion Seputarknowledge.co.id will discuss it and of course other things Also…
- Examples of 3 Dimensional Art: Techniques, Elements, Functions and Types Examples of 3D Fine Art: Techniques, Elements, Functions and Types - What are some examples of 3D Fine Art?
- Cone formulas, characteristics, properties, elements and examples of problems Cone Formulas, Characteristics, Properties, Elements and Examples Problem - How to calculate the area and volume of a shape cone space?, On this occasion, Seputarknowledge.co.id will discuss it and of course about other things Which…