A hollow sphere of radius R a hollow cube of side R and thin circular plate of radius R made up of t...........

General Science (HCS) Physics

A hollow sphere of radius R, a hollow cube of side R and thin circular plate of radius R made up of the same material, are all heated up to 20°C above room temperature. When left to cool in the room, which of them will reach the room temperature first?

Circular Plate

Cube

Sphere

All of them will reach the room temperature at the same time

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Explanation:

The cube of the same volume as a sphere of radius r has side-length r · ( 4 3 p ) 1 / 3 and thus surface area 6 · r 2 · ( 4 3 p ) 2 / 3 . Since 6 ( 4 3 p ) 2 / 3 ˜ 15.6 is bigger than 4 p ˜ 12.6 the answer is: The cube.