Question
The cylinder shown has a radius of 7 mm and a volume of 441 what is the height of the cylinder
Answers
GPT 3.5
The volume of a cylinder is given by the formula 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 441, we can substitute these values into the formula:
441 = π(7^2)h
Simplifying:
441 = 49πh
Divide both sides by 49π:
441 / (49π) = h
h ≈ 1.42 mm
Therefore, the height of the cylinder is approximately 1.42 mm.
Given that the radius is 7 mm and the volume is 441, we can substitute these values into the formula:
441 = π(7^2)h
Simplifying:
441 = 49πh
Divide both sides by 49π:
441 / (49π) = h
h ≈ 1.42 mm
Therefore, the height of the cylinder is approximately 1.42 mm.