Calculate the velocity with which a solid cylinder rolls down an inclined plane of height `10m` with slipping (take `g=10m//s^(2)`)

Explanation

To calculate the velocity with which a solid cylinder rolls down an inclined plane of height \( h = 10 \, m \) without slipping, we can use the principle of conservation of energy. Here's the step-by-step solution:

### Step 1: Understand the Energy Conservation Principle
The potential energy (PE) lost by the cylinder as it rolls down the incline will be converted into kinetic energy (KE). The total kinetic energy will consist of both translational and rotational kinetic energy.

### Step 2: Write the Potential Energy
The potential energy at the height \( h \) is given by:
\[
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