Estimating water volume(so lost)

In summary, a violent rainstorm of 1.7 cm in thickness fell on a city with dimensions of 6 km by 8 km in a 3-hour period. Using the density of water, the total volume of rain was calculated to be 81600 m^3, which is equivalent to 81600 metric tons or 81600 tonnes.
  • #1
TMNT
25
0
A violent rainstorm dumps 1.7 cm of rain on a city 6.0 km wide and 8.0 km long in a 3.0 hr period. How many metric tons (1 ton = 103 kg) of water fell on the city? [1 cm3 of water has a mass of 1 g = 10-3 kg.]

any help would be greatly apreciated!
 
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  • #2
Think about defining density.
 
  • #3
1.7 cm =.017m=thickness
Width =6 km =6000m
length = 8 km =8000 m

t0al volume = .017 x 6000 x 8000
=81600 m^3
=81600 x (100 cm)3
=81600 x 1000000 cm^3
=81600000000 cm3


since 1cm^3 = 1 gram

81600000000 cm^3 = 81600000000 gm =81600000 kg

since 1 metric ton =103 kg
81600000 kg = 81600000 kg / 103 kg =

792233.09 metric ton

i hope this is right.
 
  • #4
Ishu said:
1.7 cm =.017m=thickness
Width =6 km =6000m
length = 8 km =8000 m

t0al volume = .017 x 6000 x 8000
=81600 m^3
=81600 x (100 cm)3
=81600 x 1000000 cm^3
=81600000000 cm3


since 1cm^3 = 1 gram

81600000000 cm^3 = 81600000000 gm =81600000 kg

since 1 metric ton =103 kg
81600000 kg = 81600000 kg / 103 kg =

792233.09 metric ton

i hope this is right.

hey! thanks allot for the information
but i tried that answer and it said its wrong :frown:
oh well don't worry i'll keep on tryin because I'm at work here
and i have other online problems to do also though
 
  • #5
Ishu said:
i hope this is right.

It's much too much information! It is better suggest steps to take than simply solve the problem for him.
 
  • #6
Ishu said:
since 1 metric ton =103 kg
Not where I come from it isn't!:bugeye:

Is that some new "pi=3" Kansas law passed?
 
  • #7
1 metric ton or tonne is 1000 kg. I think you calcs may be correct now.
 
  • #8
Hootenanny said:
1 metric ton or tonne is 1000 kg. I think you calcs may be correct now.


Yeah that why I was confised.. haha I was like " :yuck: when did 103 kg became = 1 metric ton.." hahha
Since it was in teh question I used it...
anyway the answer should be..

81600000 kg / 1000 kg = 81600 Ton
 

1. How do you estimate the volume of water lost?

To estimate the volume of water lost, you can measure the difference in water level before and after the event (such as a leak or spill) and use the formula V = πr²h to calculate the volume of the affected area.

2. What factors affect the accuracy of water volume estimations?

The accuracy of water volume estimations can be affected by various factors such as the shape and size of the affected area, the rate of water loss, and the presence of obstacles or irregularities in the water flow.

3. Is it possible to estimate water volume without physically measuring it?

Yes, it is possible to estimate water volume without physically measuring it. This can be done by using remote sensing techniques such as satellite imagery or aerial photography, or by using mathematical models based on data such as precipitation and water flow rates.

4. How can water volume estimations be used in environmental management?

Water volume estimations can be useful in environmental management by providing information on the extent of water loss or contamination, which can help identify potential sources of pollution and inform decision-making for mitigation and remediation efforts.

5. What are the limitations of water volume estimations?

Some limitations of water volume estimations include the potential for errors due to measurement techniques or data inaccuracies, the difficulty in accurately estimating water volume in complex or dynamic environments, and the need for frequent updates as conditions change.

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