# The circumference of the base of the cylinder is 1. The lateral surface area is 2. Find the height of the cylinder.

July 25, 2021 | education

| We need to determine the height of the cylinder.

To do this, we can use the formula to find the area of the lateral surface of a cylinder.

We know that if we unfold the lateral surface of the cylinder, we will get a rectangle. Consequently, the area in this case will be found as length by width. In our case, the circumference is the height. That is, we get:

S = l * h

Let us express the height from this formula:

h = S * l

According to the condition of the problem:

h = 2/1 = 2

That is, the cylinder height is 2.

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