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.
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.