Answer :
The expression for the lateral area of a right cylinder is L = 2πrh.
How to calculate the lateral surface area of the right cylinder?
Consider a right cylinder with radius 'r' and height 'h'.
The right cylinder has its height perpendicular to its base.
It is given that, the lateral area of a right cylinder can be found by multiplying twice the number by the radius and the height.
I,e., L = 2 × (3.142) × r × h
Where the number 3.142 is replaced by π. Then,
L = 2 × π × r × h
= 2πrh
Unit: sq. units
How to calculate total surface area using the lateral area?
To find the total surface area of the right cylinder, add the lateral area and the area of the base, and the top of the right cylinder.
Ie., S = L + A
⇒ S = 2πrh + 2πr²
Therefore, the expression for the lateral area of the right cylinder is L = 2πrh sq. units.
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