The volume of the cylinder is 80п cm3, its height is 5 cm.Find the area of the lateral surface of the cylinder

From the condition it is known that the volume of the cylinder is 80n cm ^ 3, and its height is 5 cm.In order to find the area of the lateral surface of the cylinder, we apply the formula:

S side. pov. = 2пRh.

We know the height, but we need to find the radius of the base. To do this, we will apply the formula to calculate the volume of a cylinder.

V = nR ^ 2h.

Let us express the radius from the formula:

R = √ (V / nh).

Substitute values and perform calculations:

R = √ (80p / 5p) = √16 = 4 cm.

Let’s calculate the area:

S side. pov. = 2n * 4 * 5 = 2n * 4 * 5 = 40n cm ^ 2.

Answer: 40n cm ^ 2.