The cylinder shown has a radius of 7 millimeters (mm) and a volume of 441π mm3

. What is the height of the cylinder?

Responses

24.5 mm
24.5 mm
- no response given

31.5 mm
31.5 mm
- no response given

7 mm
7 mm
- no response given

9 mm

1 answer

The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.

In this case, the volume is given as 441π mm^3 and the radius is 7 mm.

Substituting these values into the formula, we have:

441π = π(7^2)h

441 = 49h

h = 441/49

h = 9 mm

Therefore, the height of the cylinder is 9 mm.