Mathematics

The given figure shows a solid cylinder and a solid cone on it according to the given measurement, the total surface area of the solid in terms of π and r is :

  1. 4πr2

  2. 5πr2

  3. 6πr2

  4. 7πr2

Mensuration

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Answer

From figure,

Total surface area of solid = Curved surface area of cylinder + Curved surface area of cone + Area of cross-section

= 2πrh + πrl + πr2

= 2πr.r + πr.2r + πr2

= 2πr2 + 2πr2 + πr2

= 5πr2.

Hence, Option 2 is the correct option.

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