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The ratio of radius and height of the cylinder = 2:3 Let the radius be 2x cm and the height be 3x cm Volume of cylinder = πr²h ⇒πr²h = 1617(given) ⇒(22/7)(2x)² (3x) = 1617 ⇒(22/7)(4x²) (3x) = 1617 ⇒12x³ = (1617)(7/22) ⇒12x³ = 11319/22 ⇒12x³ = 514.5 ⇒ x³ = 514.5/12 ⇒ x³ = 42.875 ⇒ x = ∛42.875 ∴ x = 3.5 Therefore the height of the cylinder = 3x = 3(3.5) = 10.5cm