SOLUTION: There is a flood. A large culvert washes out. To repair the road workers replace the old 6' by 25' culvert (cylinder) with two 4'x 25' culverts. Which can carry the greatest vol

Question 323703: There is a flood. A large culvert washes out. To repair the road workers replace the old 6' by 25' culvert (cylinder) with two 4'x 25' culverts. Which can carry the greatest volume of water; the two new smaller culverts or the old larger one?
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The volume of a cylinder is,

The old culvert could hold,

The two new culverts can hold,

As you can see the old culvert holds more than the new ones (32 vs. 36).
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
There is a flood. A large culvert washes out. To repair the road workers replace the old 6' by 25' culvert (cylinder) with two 4'x 25' culverts. Which can carry the greatest volume of water; the two new smaller culverts or the old larger one?
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The 6' has a greater cross-sectional area than 2 4' culverts.
It's a function of the square of the diameter.

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