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A sphere, a cube and a thin circular disc all made of the same material, have same mass. Their initial temperature is \( 3 \times 10^{3}^{\circ} \mathrm{C} . \) The body which cools rapidly is :

1. sphere
2. cube
3. both sphere and cube
4. circular plate

Correct answer: circular plate

Solution

For bodies of the same material and mass, the one with the greatest surface area relative to its volume cools fastest because it can radiate heat more quickly. A thin circular disc has a much larger exposed area compared with its volume than a sphere or cube, so it cools most rapidly.

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