Now, let’s look at composite figures in 3D. In order to calculate the volume of such composite figures, you have to separate the composite figure into smaller figures so that you can determine the volume of each, then add them up.
Example 1
Example 2
Find the volume of this ice cream
Half of the scoop of ice cream is inside the wafer. The volume of the wafer is the volume of a cone:
The volume of the entire scoop of ice cream is the volume of a sphere:
If you now add the volume of the scoop of ice cream to the volume of the cone, you will be adding the entire ice cream scoop. But half of the scoop is inside the wafer cone, so you can’t count that volume twice! You have to divide the volume of the sphere by 2 first. Then you can add it to the volume of the cone to find the total volume of the ice cream.
The volume of the entire ice cream is
