SOLUTION: if 23 cubic meters of a water are poured into a conical vessel, it reaches a depth of 12 cm. how much water must be added so that the depth reaches 18 cm?

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Question 956868: if 23 cubic meters of a water are poured into a conical vessel, it reaches a depth of 12 cm. how much water must be added so that the depth reaches 18 cm?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The point of the cone faces downward? Easier problem that way.

volume of cone, v=%281%2F3%29h%2Api%2Ar%5E2

The first part gives a description, h=12, v=23, and r is not yet known.
r%5E2=%283%29%281%2Fh%29%281%2Fpi%29%281%2Fv%29
r%5E2=%283%2F%28h%2Api%2Av%29%29
r%5E2=%283%29%2F%2812%2Api%2A23%29
highlight_green%28r%5E2=1%2F%284%2A23%2Api%29%29

What is the volume difference between filling to 18 cm and to 12 cm?

highlight%28%281%2F3%29%2A18%2Api%2A%281%2F%284%2A23%2Api%29%29-23%29;
Once you understand this expression, you are ready to compute it.
That will be how much water to be added.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
if 23 cubic meters of a water are poured into a conical vessel, it reaches a depth of 12 cm. how much water must be added so that the depth reaches 18 cm?
Add highlight_green%2811.5%29cm%5E3 of water

You can do the check!! 

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