A sphere, a cube and a thin circular plate, all of same material and same mass are initially heated to same high temperture.

Options

A. Plate will cool fastest and cube the slowest
B. Sphere will cool fastest and cube the slowest
C. Plate will cool fastest and sphere the lowest
D. Cube will cool fastest and plate the slowest

Explanation

To solve the problem of which object cools fastest and which cools slowest among a sphere, a cube, and a thin circular plate, all made of the same material and having the same mass, we can follow these steps:

### Step 1: Understand the properties of the objects
All three objects (sphere, cube, and plate) are made of the same material and have the same mass. This means they have the same density, which is defined as:
\[ \text{Density} (\rho) = \frac{\text{Mass} (m)}{\text{Volume} (V)} \]

### Step 2: Determine the volume of each object
Since the mass is the same for all three objects, we can express their volumes in terms of their shapes. The volume for each shape can be calculated as follows:
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