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Sphere recast into identical smaller spheres: total surface area or ratio of surface areas

This type of question, asked 3 times: 15 Nov 2020 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II. All 3 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    77
    A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original sphere and the sum of the surface areas of all the balls?

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  2. Question 2

    3 Feb 2022 Tier II

    55
    A solid metallic sphere of radius 4 cm is melted and recast into spheres of 2 cm each. What is the ratio of the surface area of the original sphere to the sum of surface areas of the spheres, so formed?

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  3. Question 3

    8 Aug 2022 Tier II

    29
    Radius of a large solid sphere is 14 cm. If is melted to form 8 equal small solid sphere. What is the sum of total surface areas of all the 8 small solid spheres? (use π=22/7\pi = 22/7)

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