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The radius and height of a cylinder are in the ratio 5:7 and its volume 550 cm cube.Find its radius

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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.)