# The moment of inertia for a solid cylinder about the axis of symmetry is what?

##### 1 Answer

It's

Where

#### Explanation:

The moment of inertia may be defined as,

If

Therefore,

Here we make the assumption that the mass density is constant

Therefore,

In order to evaluate this integral, we exploit the cylindrical symmetry of the system and employ cylindrical polar coordinates.

Thus, moment of inertia along axis of cylinder which is assumed to be the

Limits of

Where in this case,

But,

Therefore,