# Cooking Time Of Chickens

A recipe book indicates that the cooking time of a chicken of $$1\text{ kg}$$ is 1 hour, and you need to cook a chicken of $$2 \text{ kg}$$.

• The chickens are modeled as uniform solid spheres of density $$\rho$$, thermal conductivity $$\kappa$$, and initial temperature $$T_{0}$$.
• The temperature of the hooven $$T_{H}$$ is the same for cooking a chicken of 1 kg or 2 kg.
• The chickens are cooked when the temperature of the center reaches a certain value $$T_c$$, where $$T_{0} < T_{c} < T_{H}$$. This value is the same for 1 kg and 2 kg chickens.

What is the cooking time of your $$2\text{ kg}$$ chicken? Express your answer in minutes, rounded to the nearest integer.

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