Question

a cylindrical container holds eight identical spherical ornaments. which computation would you use to find the remaining volume of space inside the container?
volume of the container + volume of the spheres
surface area of the container - surface area of the spheres
volume of the container - volume of the spheres
base area of the container × height of the spheres

Explanation:

Step1: Understand the problem

We need to find the remaining volume of space. Volume of remaining space = Volume of container - Volume of objects (spheres) inside.

Step2: Analyze each option

• Option 1: volume of the container + volume of the spheres. This would give a larger volume than the container itself, which is wrong.
• Option 2: surface area of the container - surface area of the spheres. Surface - area has no relation to remaining volume.
• Option 3: volume of the container - volume of the spheres. This is correct as per the formula for remaining volume.
• Option 4: base area of the container × height of the spheres. This is not a valid formula for remaining volume.

Answer:

volume of the container - volume of the spheres (the third option)