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Cone: radius with volume or curved surface area given, find the other

This type of question, asked 2 times: 3 Feb 2022 Tier II, 20 Jan 2025 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    3 Feb 2022 Tier II

    80
    The volume of a right circular cone is 308 cm3\text{cm}^3 and the radius of its base is 7 cm. What is the curved surface area (in cm2\text{cm}^2) of the cone? (Take π=227\pi = \frac{22}{7})

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  2. Question 2

    20 Jan 2025 Tier II

    27
    If the diameter of the base of a cone is 56 cm and its curved surface area is 3080 cm2\text{cm}^2, then what will be its volume (in cm3\text{cm}^3)? (Use π=22/7\pi = 22/7)

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