Answer:
They are the same.
Step-by-step explanation:
The volume of the hemisphere is V = ⅔ π r³.
The cone's height is equal to its radius, so its volume is:
V = ⅓ (π r²) (r)
V = ⅓ π r³
The cylinder's height is equal to its radius, so its volume is:
V = (π r²) (r)
V = π r³
So the total volume on the left side is ⅔ π r³ + ⅓ π r³ = π r³.
The total volume on the right side is π r³.
The volumes are equal, and since all are made of the same material (have the same density), the masses are also equal.
