The lateral surface area of the cylinder is 144 cm 2. Find the axial section area of the cylinder.

In order to find the area of the axial section of a cylinder, it is necessary to multiply the diameter of its base by the height.

Since the base diameter is equal to two radii, the formula for the axial section area looks like this:

S = 2rh.

The lateral surface of the cylinder is 144 cm2.

The lateral surface area of the cylinder is calculated by the formula:

Sb.p. = 2πrh.

Based on this, we can find the axial section area. For this you need:

S = 2πrh / π;

S = 144 / 3.14 ≈ 45.9 cm2.

Answer: the axial section area is 45.9 cm2.



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