mendezjhovvany mendezjhovvany
  • 27-04-2021
  • Mathematics
contestada

About how much cardboard is needed to make the inner tube for a roll of paper if the
tube has a diameter of 4.5 cm and is 24 cm long?

Respuesta :

Muscardinus Muscardinus
  • 02-05-2021

Answer:

[tex]A=339.42\ cm^2[/tex]

Step-by-step explanation:

The diameter of the roll of paper, d = 4.5 cm

Radius, r = 2.25 cm

Height of the roll of papaer, h = 24 cm

We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :

[tex]A=2\pi r h\\\\=2\times \dfrac{22}{7}\times 2.25\times 24\\\\=339.42\ cm^2[/tex]

So, the required area is [tex]339.42\ cm^2[/tex].

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