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Solid sphere melted into smaller spheres: ratio of the original surface area to the total surface area of the balls

The same question, asked 2 times: 15 Nov 2020 Tier II*, 3 Feb 2022 Tier II. Every wording below, oldest first.

Try each one first, then open its answer.

  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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