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Right‌ ‌circular‌ ‌cylinders‌

 

A right circular cylinder is defined as a cylinder with a closed circular surface, two parallel bases on both ends, and perpendicular elements. A right cylinder is another name for it. All the closed circular surface points are at a constant distance from the cylinder's axis, which is a straight line. The right cylinder's two circular bases have the same radius and are parallel to each other. It is an example of a geometric shape that is widely utilized in everyday life. The right cylinder is used to get the formulas for the area and volume of the cylinder. In 3D geometry, there is another sort of cylinder called an oblique cylinder, which is a specific case.

Right Circular Cylinder Definition

The right circular cylinder is a cylinder with circular bases that are parallel to each other. Thus, it has a three-dimensional appearance. The axis of the cylinder connects the center of the two-cylinder bases. In everyday life, this is the most prevalent sort of cylinder. On the other hand, an oblique cylinder is a form of cylinder that lacks parallel bases and resembles a tilted construction.

The radius of the circular bases is r, and the height of the right cylinder is h in the diagram above.

Properties of Right Circular Cylinder

You must have previously studied the characteristics of the cylinder. Let us have a look at some of the best circular cylinder qualities.

• The axis is the line that connects the circle's centers.

• A right cylinder is made by rotating a rectangle around one side as the axis of revolution.

• The rectangle is the portion generated by cutting a right circular cylinder with a plane that contains two elements and runs parallel to the cylinder's axis.

A circle is formed when a plane cuts the right cylinder horizontally parallel to the bases.

Right Circular Cylinder Formula

A right circular cylinder is a surface created by a line that intersects a fixed circle and is perpendicular to the circle's plane. A right circular cylinder has two circular bases parallel to each other and has the same radius. The formulas for the right cylinder's surface area, curved or lateral surface area and volume are discussed here.

Curved Surface Area

The curved surface area plus the area of the two bases equals the surface area of a closed right circular cylinder. Thus, the lateral surface of the right circular cylinder is the curved surface that connects the two circular bases.

Lateral or Curved Area = 2 π r h square units.

Total Surface Area

The total surface area of the right circular cylinder is equal to the sum of the lateral surface area and the base area of both circles.

TSA = 2 π r (h + r) square units

Volume

The product of the area of the top or bottom circle with the height of the cylinder gives the volume of a right cylinder. Cubic units are used to measure the volume of a right cylinder.

Volume = Area of the circular bases x Height of the Right Cylinder

Volume = πr² h

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