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Cone from its curved surface area and one dimension: find radius, height or ratio

This type of question, asked 3 times: CDS 1 2018, CDS 2 2018, CDS 1 2021. All 3 questions below, oldest first.

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  1. Question 1

    CDS 1 2018

    77
    The curved surface area of a right circular cone is 1.76 m2\text{m}^2 and its base diameter is 140 cm. What is the height of the cone ?

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  2. Question 2

    CDS 2 2018

    77
    The lateral surface area of a cone is 462 cm2^2. Its slant height is 35 cm. The radius of the base of the cone is

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  3. Question 3

    CDS 1 2021

    68
    A cone of height 24 cm has a curved surface area 550 cm2^2. What is the ratio of its radius to slant height? (Take π=227\pi = \frac{22}{7})

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