The most important point to know about the cylinder, which is one of the most basic geometry shapes that you may encounter at many different points in your education life, is the cylinder volume calculation formulas. Let’s examine basic questions such as what is a cylinder, what is the volume of a cylinder and how to calculate the volume of a cylinder with step-by-step examples.
Let’s face it, math and geometry are a fact of our lives. Of course, depending on your profession, you may be intertwined with these two subjects for a long time throughout your life, but even if you choose a completely different profession, at least during your education life, you will definitely see the basic geometry that we call the cylinder. The most important point you need to know about the cylinder are the cylinder volume calculation formulas.
We call it cylinder volume calculation formulas because there are different formulas you need to apply depending on the type of cylinder in question. These formulas, which are quite complex for those who will meet for the first time, will make a good sense as you think about them. Come in a way that even those who have no knowledge of the subject can easily understand what is a cylinder, what is the cylinder volume and how to calculate the volume of the cylinder Let’s examine basic questions such as step-by-step examples.
Let’s start with the basics, what is a cylinder?
The geometric shape that emerges by rotating the rectangle around a single side is called a cylinder. When the cylinder is opened, its side face turns into a large rectangle and its lower and upper surfaces become circles. The upper and lower surfaces of the cylinder are equal. The stovepipe is among the most well-known examples of cylinders that we encounter in daily life. The stovepipe is a right circular cylinder. We can talk about four basic types of cylinders;
- right circular cylinder
- inclined cylinder
- elliptical cylinder
- Right circular hollow cylinder
So, what is the cylinder volume?
The total amount of liquid or solid material that any type of cylinder can hold in it. capacity is called cylinder volume. The cylinder is a three-dimensional object. For this reason, the area occupied in it, that is, the volume, is shown over the unit cube. The explanations of some of the abbreviations in the formulas you will use during the process of calculating the volume of the cylinder are as follows;
- r is the radius of the base of the cylinder.
- h is the cylinder height.
- π is the number pi and is calculated over the constant value of 3.142.
- A is the cylinder base area.
- a and b are the circle radii of the base of the elliptical cylinder.
- R is the outer base radius of the right circular hollow cylinder.
Cylinder types and features:
- right circular cylinder
- inclined cylinder
- elliptical cylinder
- Right circular hollow cylinder
Right circular cylinder:
The base of a right circular cylinder is a circle. right circular cylinder There is a linear relationship between the volume height and the square of the radius. In a situation where the radius of the right circular cylinder is doubled, the volume of the right circular cylinder will quadruple.
Inclined cylinder:
The type of cylinder found by the product of the lateral surface area, the circumference of the vertical section and the lateral edge is called the inclined cylinder. inclined cylinder, with all oblique prisms like has similar features. The lateral edge of the inclined cylinder forms a distinctive angle with the base plane.
Elliptical roller:
Cylinder types are named according to the shape of the base curve. Types of cylinders with an elliptical base curve are called elliptical cylinders. The ellipse, which forms the base surface of the elliptical cylinder, has two different radii. The elliptical base curve in question is the most important feature that makes the elliptical cylinder a unique geometric shape.
Right circular hollow cylinder:
The right circular cylinder as we know it consists of two nested right circular cylinders. In a right circular hollow cylinder, there is no inner right cylinder. Therefore, when calculating the volume and other details of the right circular hollow cylinder, the inner right circular cylinder should be subtracted from the outer right circular cylinder.
Cylinder volume calculation formulas according to their types:
- Right circular cylinder volume calculation formula
- Inclined cylinder volume calculation formula
- Elliptical cylinder volume calculation formula
- Right circular hollow cylinder volume calculation formula
Right circular cylinder volume calculation formula:
Right circular cylinder volume calculation formula V = πr2h is in the form.
- V, volume
- π, 3.142
- r is the radius of the cylinder base circle
- h, cylinder height
Inclined cylinder volume calculation formula:
The curved cylinder volume calculation formula is the same as the right circular cylinder volume calculation formula, and V = πr2h is in the form.
- V, volume
- π, 3.142
- r is the radius of the cylinder base circle
- h, cylinder height
Elliptical cylinder volume calculation formula:
Elliptical cylinder volume calculation formula V = πabh is in the form.
- V, volume
- π, 3.142
- a and b, circle radii of the base of the elliptical cylinder
- h, cylinder height
Right circular hollow cylinder volume calculation formula:
Right circular hollow cylinder volume calculation formula V = π(R2 – r2)h is in the form.
- V, volume
- π, 3.142
- r is the radius of the cylinder base circle
- h, cylinder height
- R is the radius of the outer base of the right circular hollow cylinder
How is the volume of the cylinder calculated?
- Step #1: Consider a right circular cylinder.
- Step #2: Let the radius of the right circular cylinder be 50 cm, so r = 50 cm.
- Step #3: Let the height of the right circular cylinder be 1 m, so h = 1 m.
- Step #4: Let’s bring the height of the right circular cylinder to the same unit as the radius and let h = 100 cm.
- Step #5: Pi is already 3.142 so π = 3.142
- Step #6: The formula for calculating the volume of a right circular cylinder V = πr2h
- Step #7: Let’s put the values we have in the formula V = (3.142)(50)2(100)
- Step #8: V = 785,500 cm3
To calculate the cylinder volume, simply follow the steps above. What is important when calculating the cylinder volume, what type of cylinder you are dealing with. The cylinder type is already specified in the question. What you need to do next is to write all the given values in their places in the formula.
Another point you should pay attention to during the cylinder volume calculation process is the given is to add the values to the formula over the same unit. As in the example, the radius can be in centimeters and the length in meters. You should pay attention to these points and convert all units to the unit cubes you want to get.
Throughout your education life, you will always encounter what is a cylinder, what are its types, what is the cylinder volume and how to calculate the volume of the cylinder We answered the questions and explained the important points with examples. With a few simple cylinder volume calculation formulas in mind, you can solve countless problems in seconds.