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Cone: base area with height or slant height given, find curved surface area

This type of question, asked 2 times: 15 Nov 2020 Tier II, 8 Aug 2022 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    38
    The area of the base of a right circular cone is 81π81\pi cm2\text{cm}^2 and its height is 12 cm. What is the curved surface area (in cm2\text{cm}^2) of the cone?

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  2. Question 2

    8 Aug 2022 Tier II

    24
    The slant height of a cone is 20 cm. If area of its base is 616 cm2\text{cm}^2, then what is the curved surface area of this cone? (use π=22/7\pi = 22/7)

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