Mathematics

An open hollow cylindrical container, made of very thin metal sheet, has radius r cm and height h cm, its total surface area (in cm2) is :

  1. πr2h + 2πrh

  2. 4πrh + πr2

  3. 4πrh + 2πr2

  4. 2πrh + 2πr2

Mensuration

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Answer

Given,

It is an open hollow cylindrical container.

∴ It will be open at one end and closed at the other end.

Since, hollow cylindrical container is made up of very thin metal sheet.

∴ External radius = Internal radius = r cm.

Given,

Height = h cm.

Total surface area of hollow cylinder = External curved surface area + Internal curved surface area + Area of cross section (lower end)

= 2πrh + 2πrh + πr2

= 4πrh + πr2.

Hence, Option 2 is the correct option.

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