Mathematics

In the given figure, a solid cone is kept inverted in a closed cylindrical container such that the height of cone = height of cylinder = h, radius of cone = radius of cylinder = r and slant height of cone = l. If the remaining of cylinder is completely filled with water, the wetted surface area of the whole body is :

  1. 2πrh + πr2 + πrl

  2. 2πrh + πrl

  3. 2πrh + 2πr2 + πrl

  4. 2πrh - πr2 + πrl

In the given figure, a solid cone is kept inverted in a closed cylindrical container such that the height of cone = height of cylinder = h, radius of cone = radius of cylinder = r and slant height of cone = l. If the remaining of cylinder is completely filled with water, the wetted surface area of the whole body is : Cylinder, Cone, Sphere, Concise Mathematics Solutions ICSE Class 10.

Mensuration

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Answer

From figure,

Total wetted surface area of body = Curved surface area of cylinder + Area of upper surface of cylinder + Curved surface area of cone

= 2πrh + πr2 + πrl.

Hence, Option 1 is the correct option.

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