how does curved surface area lateral surface area and total surface area of cylinder formed explain it?
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explain how does the formula of cylinder formed
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Surface Area of Cylinder Formula
- A cylinder is a three-dimensional figure with two round flat bases and one curved side.
- In other words, a closed solid has two parallel circular bases connected by a curved surface. It has no vertices.
Lateral or Curved Surface Area of Cylinder Formula
- A cylinder is a rectangle with two circular bases.
- The faces of the cylinder are parallel and congruent circles.
- The cylinder has one curved surface.
- The height of the cylinder is the perpendicular distance between the base.
- The lateral surface of an object is defined as the area of a curved surface, excluding the area of its base and top.
- In the lateral surface area of a cylinder, the radius is directly proportional to the height of the Cylinder.
- The Curved Surface Area of the Cylinder = 2πrh
Total Surface Area of Cylinder Formula
- The surface area of the cylinder is the area of a curved surface of a cylinder including circular top and base.
- Area =2πr(r+h)
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Answer:
Derivation of Surface Area of Cylinder We define this term as the total surface area. Let us take a cylinder of base radius 'r' and height 'h' units. The curved surface of this cylinder, if opened along the diameter (d=2r) of the circular base can be transformed into a rectangle of length '2πr' and breadth 'h' units.
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