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Iron ball of radius 10 cm coated with ice melting at 50 cubic cm/min: rate the ice thickness falls

The same question, asked 2 times: May 2022 S1, 20 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    May 2022 S1

    146
    A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness that melts at the rate of 50 cm3^3/min. If the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases is

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  2. Question 2

    20 Apr 2026 S1

    74
    A spherical iron ball 1010 cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm3/min50\ \mathrm{cm^3/min}. When the thickness of ice is 55 cm, the rate at which the thickness of ice decreases is...

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