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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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Answer 1

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 2

Answer:

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)

Step-by-step explanation: