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

Limit, Continuity and Differentiability: JEE Main 2005 Mathematics question

JEE Main 2005 · Annual, Paper 1 · Q2739

JEE Main 2005Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

A spherical iron ball

10

cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of

50

^3

/min. When the thickness of ice is

5

cm, then the rate at which the thickness of ice decreases is