The cylinder has a radius of 7 millimeters (mm) and a volume of 441 mm. What is the height of the cylinder?
A. 9 mm
B. 7 mm
C. 31.5 mm
D. 24.5 mm
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Given that the radius is 7 mm and the volume is 441 mm^3, we can substitute these values into the formula to solve for the height:
441 = π(7^2)h
441 = 49πh
Dividing both sides by 49π, we get:
h = 441 / (49π)
Using a calculator to approximate the value of π as 3.14, we have:
h ≈ 441 / (49 * 3.14)
h ≈ 441 / 153.86
h ≈ 2.86
Therefore, the height of the cylinder is approximately 2.86 mm. None of the answer choices provided match this value, so there may be an error in the given information or answer choices.