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Answer:

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Step-by-step explanation:

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Height of a can is equal to [tex]\boldsymbol{6.99\,cm}[/tex].

Surface area of a cylinder

Surface area of a cylinder [tex]=\pi r^2h[/tex] where [tex]r,h[/tex] denote radius, height of a cylinder respectively.

Surface area of a can [tex]=1406.72 \,cm^2[/tex]

Radius of a can [tex]=8 \,cm[/tex]

[tex]1406.72=\frac{22}{7}(8)^2h[/tex]

         [tex]h=6.99\,cm[/tex]

Therefore, height of a can is equal to [tex]\boldsymbol{6.99\,cm}[/tex]

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