The area of the lateral surface of the cylinder is 24 liters. Find the height of the cylinder if the radius is 2cm.

The area of the lateral surface of the cylinder is equal to the product of the circumference of the base of the cylinder by its height:

Sside = 2пr * h.

The height of the cylinder can be found by dividing the value of the lateral surface area by the circumference of the base:

h = S side / 2пr = 24п / (2 * n * 2) = 24п / 4п = 6 cm.



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