The surface area of an equilateral cylinder is 2.4m2. find the area of its lateral surface.

Since the cylinder is equilateral, the diameter of the circle is equal to the height of the cylinder, AD = AB.

Let AD = AB = 2 * X cm, then R = AO = X cm.

The surface area of the cylinder is equal to: Sпов = 2 * Sсн + Sbok = 2.4 m2.

2 * π * X ^ 2 + 2 * π * X * 2 * X = 2.4.

6 * π * X ^ 2 = 2.4.

X ^ 2 = 0.4 / π.

X = √ (0.4 / π) m.

Then h = 2 * X = 2 * √ (0.4 / π) = √ (1.6 / π) m.

Let us determine the area of the lateral surface.

Side = 2 * π * X * 2 * X = 2 * π * √ (0.4 / π) * 2 * √ (0.4 / π) = 4 * 0.4 * π / π = 1.6 m2 …

Answer: The lateral surface area is 1.6 m2.