The volume of a cylinder is 64m cubic centimeters. If the radius of the cylinder is 4 cm, what is the height of the cylinder? (V = pi r ^ 2h)
A 2 cm
B 3 cm
C 4 cm
D 6 cm
Given that the radius (r) is 4 cm and the volume (V) is 64π cm^3, we can use the formula for the volume of a cylinder to find the height (h).
V = πr^2h
64π = π(4)^2h
64π = 16πh
64 = 16h
h = 64/16
h = 4 cm
Therefore, the height of the cylinder is 4 cm.
The correct answer is C) 4 cm.