A spherical iron ball of radius 10 cm is coated with a… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 10 April · Shift II

A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm³/min. When the thickness of the ice is 5 cm, then the rate at which the thickness (in cm/min) of the ice decreases, is

A.
$\dfrac{1}{9\pi}$
B.
$\dfrac{1}{18\pi}$
C.
$\dfrac{1}{36\pi}$
D.
$\dfrac{5}{6\pi}$

Show answer

Correct option: B

[JEE Main 2019 · 10 April · Shift II]

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JEE Main 2019 Mathematics question on Application of Derivatives