A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured into a different cylinder that has a radius of 333 cm. What will the height of the liquid be in the new cylinder?
By definition, the volume of a cylinder is given by: V = π * r ^ 2 * h Where, r: cylinder radius h: height Clearing h we have: h = (V) / (π * r ^ 2) Substituting values: h = (36π) / (π * 3 ^ 2) h = (36π) / (9π) h = (36π) / (9π) h = 4 cm Answer: The height of the liquid will be in the new cylinder about: h = 4 cm
