What will the density be if the radius of the sphere is halved

Density would be 8 times.

Step-by-step explanation:

Let r represent radius of original sphere.

We are asked to determine the density of a sphere, when its radius is halved.

We know that density is inversely proportional to cube of radius .

When radius is halved, so new radius would be .

Now density would be:

Using property , we will get:

We can see that new density is 8 times the original density. Therefore, the density would be 8 times if the radius of the sphere is halved.