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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:

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Question

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:

Options

  • πrl + 2πrh + 2πr2

  • πr2+ πrl + 2πrh

  • 2πr2 − πrl + 2πrh

  • (πrl + πr2) + 2r2 + 2πrh

MCQ
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Solution

πr2+ πrl + 2πrh

Explanation:

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

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Chapter 20: Cylinder, Cone and Sphere - EXERCISE 20 (E) [Page 319]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 20 Cylinder, Cone and Sphere
EXERCISE 20 (E) | Q 1. (c) | Page 319
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