Applications of differential equations
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A sphere of radius \(R\) melts such that the radius after time \(t\) is \(r\) and the rate of change of the radius is given by \(\dfrac{{dr}}{{dt}} = - r\). If \(T\) is the time taken for the radius of the sphere to decrease to \(\dfrac{1}{4}R\) then \(T=\)?
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