The cylinder shown has a radius of 7 millimeters (mm) and a volume of 441π mm3 . What is the height of the cylinder? (1 point) Responses 9 mm 9 mm
24.5 mm 24.5 mm
7 mm 7 mm
31.5 mm
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
In this case, the radius is given as 7 mm and the volume is given as 441π mm^3.
Substituting the values into the formula, we have:
441π = π(7^2)(h)
Simplifying, we get:
441π = 49πh
Now, divide both sides of the equation by 49π:
441π/(49π) = 49πh/(49π)
9 = h
Therefore, the height of the cylinder is 9 mm.