The volume of a cylinder is basically its capacity which can be measure the quantity of material or liquid it can contain. In simple geometry, every cylinder shape container has a specific volume, which can be calculated using the formula to know what amount of liquid or solid can be put in it appropriately. Being a triple-dimensional shape, a cylinder features two congruent and side-by-side similar bases. You have several kinds of cylinders. Some of them are given below:
- Right circular: The bases of such cylinders are circular and every line segment standing lateral to it is perpendicular to the bases.
- Oblique: The sides of such cylinder incline over the base at some angle which is not a right angle.
- Elliptic: The bases of these cylinders are ellipses
- Right circular hollow: They two 90 degree round cylinders bounded one inside the other.
A cylinder’s volume is the number of unit cubes that it can accommodate. It is the space a cylinder covers as the volume is a three-dimensional body is a space it occupies. The volume of a cylinder can be measured in cm3, m3, in3and more.
The formula to calculate the volume of a cylinder
It is known that a cylinder looks like a prism but it has a curved side face. Hence, the same formula is used to measure the volume of a cylinder. The area of a prism can be calculated with this formula:
V = A x h
- H is the height
- A is the base area
Now, let’s know the formula for different types of cylinders
- Right Circular Cylinder
Volume of a right circular cylinder formula: V = πr2h, where
- H is the height
- Π is constant with a value of 22/7 or 3.142
- R is the radius of the circle of the cylinder
You will get different volumes for a cylinder with different heights and it also changes with the square of the radium. So, it means if the radius is doubled, the volume will increase by four times.
- Oblique Cylinder
The formula for oblique cylinder volume is same as right cylinder. It is:
V = πr2h, where
- H is the height of the cylinder
- Π remains constant as 22/7 or 3.142
- R is the radius of the base
- Elliptic Cylinder
An ellipse features two radii and the area of an ellipse with radii x and y is πab. Hence, its volume is:
V = πxyh, where
- X and y are the two radii of the base
- H is the height
- Π is constant at 22/7 or 3.142
- Right circular Hollow Cylinder
A right circular cylinder comprises of two 90-degree circular cylinder bounded within one another. Its volume is calculated by deducting the volume of the inside cylinder from the outside cylinder. The formula is:
V = π(R2 – r2)h, where:
- H is the height of the cylinder
- Π is constant with a value 22/7 or 3.142
- r is the radius of the inner cylinder
- R is the radius of the outer cylinder
There is a lot more to learn about the volume of a cylinder. If you want to know the easy formula to calculate volume of a cylinder, prism, rectangle, triangle, then use https://www.learntocalculate.com and boost your knowledge now.