The lateral area of the cylinder which has base area of 36π and the height of 2 units is 24π square units.
What is the lateral area of cylinder?
Lateral area of a cylinder is the sum of the area of each face (triangular). In the lateral area of the cylinder, the base is area does not consider. It can be calculated using the following formula.
[tex]A=2\pi rh[/tex]
Here, (h) is the height of the cylinder and (r) is the radius.
The area of the circular base of a cylinder is 36π square units. The area of circular base is twice the product of π and square of radius. Thus,
[tex]A_b=\pi r^2\\36\pi=\pi r^2\\r=\sqrt{36}\\r=6\rm\; units[/tex]
Thus, the radius of the cylinder is 6 units. The height of the cylinder is 2 units. The lateral area of this cylinder is,
[tex]A_l=2\pi (6)(2)\\A_l=24\pi[/tex]
Thus, the lateral area of the cylinder which has base area of 36π and the height of 2 units is 24π square units.
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