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Let the radius = r = 5x and height = h = 7x So, the volume of the cylinder = π r² h = 22/7 x (5x)² x 7x = 22/7 x 25x² x 7x = 22 x 25x (cube) (7 gets cancelled) But it is given that volume = 550 cm cube So, 22 x 25x (cube) = 550 x (cube) = 550 / 22 x 25 x(cube) = 1 ( as 22 x 25=550 and 550 is both in nm and dm) x = ∛1 x = 1 so radius = 5x = 5 x 1 cm = 5cm (Ans.)