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)
Given:
Volume (V) = 64m^3 = 64000 cm^3
Radius (r) = 4 cm
We know the formula for the volume of a cylinder is: V = πr^2h
Now, we can substitute the given values into the formula and solve for the height (h):
64000 = π * 4^2 * h
64000 = π * 16 * h
64000 = 16πh
h = 64000 / (16π)
h = 1250 / π
h ≈ 398.84 cm
Therefore, the height of the cylinder is approximately 398.84 cm.