Mathematics

The given figure shows a solid cylinder of height h cm and radius r cm. If the slant height of the conical cavity is l cm, the total surface area of the remaining solid is :

  1. πrl + 2πrh + 2πr2

  2. πr2 + πrl + 2πrh

  3. 2πr2 - πrl + 2πrh

  4. (πrl + πr2) + 2πr2 + 2πrh

The given figure shows a solid cylinder of height h cm and radius r cm. If the slant height of the conical cavity is l cm, the total surface area of the remaining solid is : Cylinder, Cone, Sphere, Concise Mathematics Solutions ICSE Class 10.

Mensuration

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Answer

From figure,

Total surface area of remaining solid = Curved surface area of cylinder + Area of upper surface of cylinder + Curved surface area of cone

= 2πrh + πr2 + πrl.

Hence, Option 2 is the correct option.

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