Question

What will be the density of the air if the radius of the cylinder is halved while the length is unchanged?

Answer 1

If the radius of the cylinder is halved and length is kept unchanged then the density of air inside the cylinder will increase.

As it can be said that density is inversely proportion to the square of the radius.

Density of Cylinder

Density is the ratio of mass to volume.

The formula for density is: ρ= m/v.

The formula for the Mean Density of a cylinder is:

                                         ρ= m/ (π•r²•h)

where:

ρ is the density of the cylinder

m is the mass of the cylinder

h is the height of the cylinder

So, with increase in radius the of the cylinder there is decrease in the density of cylinder.

And on decreasing the radius of the cylinder there is increase in the density of the cylinder.

As it can be said that density is inversely proportion to the square of the radius.

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