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Sphere or cube scaled: area goes as the square, volume as the cube of the length

This type of question, asked 4 times: CDS 1 2017, CDS 2 2019, CDS 2 2020, CDS 1 2023. All 4 questions below, oldest first.

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  1. Question 1

    CDS 1 2017

    85
    If the surface area of a sphere is reduced to one-ninth of the area, its radius reduces to

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  2. Question 2

    CDS 2 2019

    73
    The volume of a spherical balloon is increased by 700%. What is the percentage increase in its surface area ?

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  3. Question 3

    CDS 2 2020

    73
    The surface areas of two spheres are in the ratio 1:41 : 4. What is the ratio of their volumes ?

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  4. Question 4

    CDS 1 2023

    58
    The surface area of a cube is increased by 25%. If p is the percentage increase in its length, then which one of the following is correct ?

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