he cylinder shown has a radius of 7 millimeters (mm) and a volume of 441π mm3
. What is the height of the cylinder?
To calculate the height of the cylinder, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Given that the radius is 7 mm and the volume is 441π mm^3, we can substitute these values into the formula:
441π = π * (7^2) * height
Let's simplify this equation:
441 = 49 * height
Now, divide both sides of the equation by 49:
height = 441 / 49
height = 9
Thus, the height of the cylinder is 9 mm.