A cylinder has a volume of 452.16 cubic centimeters. The diameter of the cylinder is 8 cm. What is the height of the cylinder?
(Assume = 3.14)
First, we need to calculate the radius of the cylinder using the diameter:
Radius = Diameter / 2
Radius = 8 cm / 2
Radius = 4 cm
Next, we can use the formula for the volume of a cylinder to find the height:
Volume = π * radius^2 * height
452.16 = 3.14 * 4^2 * height
452.16 = 3.14 * 16 * height
452.16 = 50.24 * height
height = 452.16 / 50.24
height ≈ 9 cm
Therefore, the height of the cylinder is approximately 9 cm.