Respuesta :

To find the volume of a cylinder, you can use the formula V = πr²h, where V represents the volume, r represents the radius of the circular base, and h represents the height of the cylinder.

In this case, since we are given the circumference of the circular base instead of the radius, we can use the formula C = 2πr to find the radius. Rearranging the formula, we get r = C / (2π).

Given that the circumference is 44 cm, we can substitute this value into the formula to find the radius: r = 44 cm / (2π) ≈ 7 cm.

Now that we have the radius (7 cm) and the height (120 cm), we can calculate the volume using the formula: V = π(7 cm)²(120 cm) ≈ 18480 cm³.

Therefore, the volume of the cylinder is approximately 18480 cubic centimeters.