The formula of lateral surface area of Cylinder is {fill_Regular}.

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A = 2 π r h

A = 2 π r

A = π r 2

A = 2 π r 2 h

answer is A.

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Detailed Solution

We have to find the formula of the lateral surface area of the cylinder.
We know that a cylinder is a solid shape having two circular parallel bases joined by a curved surface at a particular distance. A cylinder consists of two surfaces one is a curved surface and the other is a circular base.
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Now, we know that the lateral surface area of a cylinder is defined as the area of its curved surface after excluding the area of its top and bottom circular surface.
So, if we consider the circumference of the circular base of a cylinder equal to 2πr where r= radius, then the length of the rectangular sheet for a cylinder is equal to the circumference of the circular base, and breadth is considered as the height of the rectangular sheet.
So, we have lateral surface area = circumference of the circular base × h.
⇒ 2πr × h
⇒ 2πrh
So, we get the formula of lateral surface area of cylinder is 2πrh.

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