Introduction to the Cylinders “Real Life Examples”
The cylinders are one of the most commonly used shapes. If you are having a cup of tea right now, you are holding a cylinder. Everything that we come across in our routine life is mostly based on a cylindrical shape. Like the canned goods in your pantry are cylinders. The shapes of cylinders can be varied from tall to narrow, the form factor depending upon for what purpose it is going to be used. But always remember, the bases will always be parallel in the case of cylinders. If you ever “unroll” the cylinder, you will find the side of the cylinder is a rectangle.
Types of Cylinders “Right and Oblique Cylinders”
There are two most commonly discussed types of cylinders in the geometry, Right and Oblique Cylinders. Let’s examine both one by one.
Right Cylinders: If you find two bases are precisely over each other without any deflection and the axis is right angles to the base, this is known as a Right Cylinders. Right cylinders have a straight form factor in most of the cases with a perfect angle of the axis in the base or centre.
Oblique Cylinders: In the case of oblique cylinders, one side of the base of a cylinder is displaced sideways. The axis is parallel but not at the right to the angles of the bases. That’s why it is called oblique cylinders.
How to Find the Surface Area and Volume of Cylinders? Relationship of a Cylinder with a Prism
Cylinders are similar to the prism in that they both have two bases, a top and a bottom that can be oblique and right. So if you already know about the formulas of prism for the surface area and volume of the prism, then the cylinder volume is easy to understand. The formulas of the surface area and volume of cylinders have a similar format to those of prisms. But unlike prisms which have so many lateral faces because of their polygon nature for bases, cylinders have only one lateral surface because of their circles for bases.
Because cylinders and prisms are so similar, we can initially use the same formula for the surface area.
The formula for the Surface Area of Cylinders: $$SA = 2B + LA$$ where SA refers to the surface area, B refers to the AREA of the base, and LA refers to the lateral area.As long as you know the formulas for circumference and area of the circle, you can continue to work with the original formula with substitution without having to memorize anything more. Remember to say the formula in words and substitute what you say into the formula.The surface area of a cylinder is equal to two times the area of the base plus the lateral area of the cylinder.” Since the base is a circle and the lateral surface is a rectangle, the formula changes to $$SA = 2(pi r^2) + (2 pi r) h$$Note: Do not bother to memorize this form of the formula. It only takes a few seconds to recreate it. The same is true for the volume formula.
The formula for the Volume of Cylinders: $$A = B h$$, where A is area, B is the area of the base, and “h” is the height of the cylinder. Memorize this formula and then substitute the appropriate circle formulas. The result is $$A = (pi r^2) h$$
Height of Cylinder: The perpendicular distance between the bases of a cylinder is called as height and denoted by letter “h”.
The radius of Cylinder: The radius of the base is called the radius of a cylinder denoted by the word “r”.
Axis of Cylinder: A-line joining the centre of each side of the cylinder is called axis.
Things to remember while calculating the Surface area and Volume of Cylinders
- The surface area of a cylinder should be labelled as square units
- The volume of a cylinder should be labelled as cubic units
- The form of the final answer can either be left with pi, which is exact, or you will use the pi key on your calculator for a decimal approximation. For real-life applications, we want the decimal answer. Ask your teacher about rounding the decimal, and don’t forget about the label.
Cylinder Volume Calculator
We could claim that calculating the volume of a cylinder is a significant difficulty for most people, especially young people and students, and it only gets worse for multiple values and numbers. So, if you are the person who is unable to find a proper solution to calculate the cylinder volume for complex problems till now. Then, cylinder volume calculator is like a blessing for you. It is one of the easiest to use cylinder volume calculator which you can find online. The simple design of our cylinder calculator with easy to understand user interface makes it easy for everyone to operate our cylinder volume calculator without any hassle. Our cylinder volume calculator outshines every other cylinder volume calculator in terms of reliability and results production. We are using the latest approaches to enhance the performance of the cylinder volume calculator so it can give you the cylinder volume within a few seconds’ rights after entering the values.
How to use our Cylinder Volume Calculator?
If you ever use a standard calculator for any purposes, then cylinder volume calculator is as simple for you as operating any other standard calculator. You only need to put the value of radius “r” and height “h” in the relevant boxes respectively, and you are all set to find the volume of a cylinder using our cylinder volume calculator. Furthermore, our cylinder volume calculator is absolutely free to use and don’t have any subscription or hidden charges.
Application of Cylinders “Real Life Usages”
As we find out, cylinders have all the three-dimensional figures. So, the most common use of cylinders in real life is packing of the material, metal or cardboard needed to make a cylinder. There is another usage of cylinders in real life, but for most of the times, cylinder volume is utilized for packing purposes.
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