VOLUME of cylinder = πr2hNew radius of cylinder R = r/3Let the NEW height of the cylinder be H cm, then ACCORDING to the questionπ R2 H = π r2 h⇒ π × (r/3)2 × H = πr2 h⇒ 1/9 × H = h⇒ H = 9hIf volume REMAINS the same, length will increase by 9 times.