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I dont understand this at all.

I dont understand this at all.-example-1
User Mahdad
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1 Answer

1 vote

Answer:

They are the same.

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.

User Gentle
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