Basically, you need to have an equal mass on both sides. Since the material is the same and the density is constant, this means you need an equal volume on either side.
The volume of a sphere is given by:
(4/3)*π*(r^3), where r is its radius.
So, the volume is proportional to r^3
This means, if you have a radius four times as large as a small sphere, the volume will be 4^3 = 64 times larger.
So, you need 64 small spheres to balance the larger one.
John is balancing solid silver spheres on a scale. The smaller sphere has one quarter of the radius of the larger sphere. The larger sphere is placed on the right side of the scale as seen in the diagram.
How many total smaller spheres must be placed on the left side of the scale to keep the scale balanced?
Use
π=3.14
.
Answer Choices
4
8
16
64
1 answer