The expression that represents the volume of the composite figure is 16/3πr³ + r³
The expression that represents the volume?
The given parameters are:
- Hemisphere radius = r
- Cube length = r
The volume of a cube is:
V = l³
So, we have:
V = r³
The volume of a hemisphere is:
V = (2/3)πr³
So, we have:
V = (2/3)π(2r)³
Evaluate
V = (2/3)π * 8r³
This gives
V = 16/3πr³
Add both volumes
Volume = 16/3πr³ + r³
Hence, the expression that represents the volume of the figure is 16/3πr³ + r³
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