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

  1. 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 and boost your knowledge now.

By Hemant Kumar

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