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Plate of uniform thickness with pieces cut out: weight proportional to area

This type of question, asked 2 times: CDS 2 2022, CDS 2 2026. All 2 questions below, oldest first.

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  1. Question 1

    CDS 2 2022

    85
    A square copper plate of side 16 cm weighs 128 gm. A circular disc of diameter 14 cm is cut off from the plate. What is the weight of the remaining part ? (π=227)(\pi = \frac{22}{7})

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  2. Question 2

    CDS 2 2026

    58
    On a circular metal plate of uniform thickness, 16 holes, each of diameter 2 cm, are made. If the plate thereby has lost one-ninth of its original weight, then what is the diameter of the plate ?

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