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Cylinder from its surface area and one dimension: find the other, then volume

This type of question, asked 3 times: CDS 1 2018, CDS 1 2019, CDS 2 2025. All 3 questions below, oldest first.

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  1. Question 1

    CDS 1 2018

    93
    The surface area of a closed cylindrical box is 352 square cm. If its height is 10 cm, then what is its diameter ? (Use π=227\pi = \dfrac{22}{7})

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  2. Question 2

    CDS 1 2019

    53
    A right circular cylinder has a diameter of 20 cm and its curved surface area is 1000 cm2\text{cm}^2. What is the volume of the cylinder ?

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  3. Question 3

    CDS 2 2025

    62
    The sum of the height and the radius of a right circular cylinder is 21 cm, and the radius is less than the height. If the curved surface area of the cylinder is 616 cm2616\ \text{cm}^2, then what is the volume of the cylinder? (Take π=22/7\pi = 22/7)

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