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First, we need to use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given:
V = 471 cm^3
r = 5 cm
Ï€ = 3.14
Plug the values into the formula and solve for h:
471 = 3.14 * 5^2 * h
471 = 3.14 * 25 * h
471 = 78.5 * h
h = 471 / 78.5
h = 6 cm
Therefore, the height of the cylinder is 6 cm.