A cylinder is within the cube touching all the vertical faces. A cone is inside the cylinder. If their heights are same with the same base, find the ratio of their volumes.

Explanation

To find the ratio of the volumes of a cube, a cylinder, and a cone, we can follow these steps:

### Step 1: Define the edge length of the cube
Let the length of the edge of the cube be \( a \) cm.

### Step 2: Calculate the volume of the cube
The volume \( V_1 \) of the cube is given by the formula:
\[
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