If a uniform sphere is compressed to half of its original diameter,its mass remains the same but its density becomes 8 times as great.

Question

Quizplus · Accepted Answer

The mass of the sphere remains the same, which means that the total amount of matter in the sphere does not change. If we compress the sphere to half of its original diameter, the volume of the sphere will become 1/8th of its original volume (since volume is proportional to the cube of the diameter). Therefore, the density of the sphere will become 8 times greater (since density = mass/volume).

If a Uniform Sphere Is Compressed to Half of Its