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A spherical iron ball \( 10 \mathrm{~cm} \) in radius is coated with a layer of ice of uniform thickness that melts at a…

Q1

A spherical iron ball \( 10 \mathrm{~cm} \) in radius is coated with a layer of ice of uniform thickness that melts at a rate of \( 50 \mathrm{~cm}^{3} / \mathrm{min} \). When the thickness of ice is \( 5 \mathrm{~cm} \), then the rate at which the thickness of ice decreases, is

[JEE Main 2020, 9 Jan (Shift 1)]

a

\( \frac{1}{54 \pi} \mathrm{cm} / \mathrm{min} \)

b

\( \frac{5}{6 \pi} \mathrm{cm} / \mathrm{min} \)

c

\( \frac{1}{36 \pi} \mathrm{cm} / \mathrm{min} \)

d

\( \frac{1}{18 \pi} \mathrm{cm} / \min \)

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