The volume of the cylinder is 45п cm3, and the base area is 9п cm2. Find S side

The lateral surface area of the cylinder is S = 2 * π * r * h.

Hence, we need to find the height and radius of the base of this cylinder.

As you know, the volume of a cylinder is V = S * h, where S is the base area, h is the height of the cylinder.

From the task data, we can find the height of the cylinder.

h = V: S,

h = 45 * π / 9 * π = 5 (cm).

The base area of the cylinder is:

S = π * r².

This means that the radius of the base of this cylinder is:

9 * π = π * r²,

r² = 9,

r = 3 (cm).

Thus, the area of the lateral surface of a given cylinder is equal to:

S = 2 * π * 3 * 5 = 30 * π (cm²).