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If the height of a cylinder becomes 14 of the original height and the radius is doubled, then which of the following will be true? - Mathematics

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प्रश्न

If the height of a cylinder becomes `1/4` of the original height and the radius is doubled, then which of the following will be true?

विकल्प

  • Total surface area of the cylinder will be doubled.

  • Total surface area of the cylinder will remain unchanged.

  • Total surface of the cylinder will be halved.

  • None of the above.

MCQ

उत्तर

None of the above.

Explanation:

We know that, 

Total surface area of cylinder having radius r and height h = 2πr (h + r)

Total surface area of the cylinder with new height `(h/u)` and radius 2r

= `2pi(2r) (2r + 1/4 h)`

= `4pir (8r + h) xx 1/4`

= πr (8r + h)

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अध्याय 11: Mensuration - Exercise [पृष्ठ ३४६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 11 Mensuration
Exercise | Q 7. | पृष्ठ ३४६

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