Three objects sphere , a cube and a circular plate of equal mass are constructed from same material . All of the three objects are initially heated to a temperature of `150^@C` and then left to cool at room temperature. Will they all cool down at the same ? If not, which of them will cool faster and why ?

Explanation

To solve the problem of which object cools down faster among a sphere, a cube, and a circular plate of equal mass and made from the same material, we can follow these steps:

### Step 1: Understand the Cooling Process
When objects cool down, they lose heat to their surroundings. The rate of heat loss can be described by Stefan-Boltzmann law, which states that the power radiated by a body is proportional to the fourth power of its temperature difference with the surroundings and its surface area.

### Step 2: Identify Key Parameters
- All three objects (sphere, cube, circular plate) have the same mass and are made of the same material, meaning they have the same density.
- The initial temperature of all objects is `150°C`.
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