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
31.5 mm
31.5 mm
24.5 mm
24.5 mm
7 mm
7 mm
9 mm
We can use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the 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)h
Simplifying:
441 = 49h
We can then solve for h by dividing both sides of the equation by 49:
h = 441/49
h = 9 mm
Therefore, the height of the cylinder is 9 mm.