Question
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
. 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
Answers
GPT 3.5
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.
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.