Cylinder (बेलन) In Hindi
1. बेलन एक 3D आकृति है जिसमें दो समान वृत्ताकार आधार होते हैं।
2. आधारों को जोड़ने वाली एक घुमावदार आयताकार सतह होती है।
3. ऊंचाई, आधारों के बीच की दूरी होती है।
Cylinder In English
A cylinder is a three-dimensional geometric solid that has two parallel circular bases and a curved lateral surface connecting them. The height is the distance between the two circular bases. It has a total of 3 faces, 2 edges, and no vertices.
Cylinder Faces Vertices Edges
Faces: A cylinder technically has 3 faces.
1. Two are the circular areas at the top and bottom, which we can consider flat faces.
2. The third is the curved lateral surface that goes around the sides.
Vertices: A cylinder has 0 vertices. Vertices are points where two or more edges meet. Since the cylinder’s curved side is smooth and has no corners, there are no points where edges come together.
Edges: A cylinder has 2 edges. These are the circular lines where the top and bottom flat faces meet the curved lateral surface.
Cylinder Formulas
- Volume of a cylinder (V) = πr²h
- Surface area of a cylinder (CAS) = 2πrh
- Total Surface Area of a cylinder (TSA) = 2πrh + 2πr² = 2πr(h + r)
Cylinder Properties
1. Bases of cylinders are always congruent and parallel to each other.
2. A cylinder has two flat faces which are identical to each other and one curved surface.
3. Volume and Area of any cylinder are proportional to the radius and height of the cylinder.
Types Of Cylinder
Right Cylinder: In a right cylinder, the axis joining the centers of the circular bases is perpendicular to the bases. This means that if you were to draw a line from the center of the top base to the center of the bottom base, it would be perpendicular to both bases. Right cylinders are the most common type encountered in geometry.
Oblique Cylinder: An oblique cylinder is one where the axis is not perpendicular to the bases. Instead, it is at an angle relative to the bases. In an oblique cylinder, the axis does not form a right angle with the bases. This type of cylinder is less common in geometric contexts but can still be encountered in various applications.
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