A particular dam contains approximately 1 comma 800 comma 000 comma 000 comma 000 cubic feet of water. For a​ week-long spike​flood, water was released at a rate of 25 comma 700 cubic feet per second.

a. How much water was released during the​ flood?

b. What percentage of the dam was released during the​ flood?

Respuesta :

Answer:

(a)15,543,360,000 cubic feet

(b)0.86%

Step-by-step explanation:

The dam contains approximately 1,800,000,000,000 cubic feet of water.

Water was released at a rate of 25,700 cubic feet per second

Since this is done for a week, we determine first the number of seconds in a week.

1 week =(7 X 24 X 60 X 60 ) seconds = 604,800 seconds

(a) Total Volume of Water Released During the Week

= 25700 X  604800 =15,543,360,000 cubic feet

(b)Percentage of the Dam Released

[tex]\frac{Volume of water released}{Total dam volume}[/tex]=

[tex]\dfrac{15543360000}{1800000000000} X 100=0.86\%[/tex]

Answer:

A) Volume of water released for the 1 week= =15,543,360,000 ft³

B) Percentage of water released for the 1 week = 0.864%

Step-by-step explanation:

From the question, we are given;Water contained by dam= 1,800,000,000,000 ft³

Rate at which water was released =25,700 ft³/s

Time for which water was released at that rate = 1 week.

Now, we have to convert this 1 week to seconds since the rate is in m³/s

Thus, 1 week = 7days/week x 24 hours/day x 60minutes/hour x 60 seconds/minute = 604,800 seconds

A) So, total volume of water released for this 1 week duration is;

= 25700 X  604800 =15,543,360,000 ft³

B) Percentage released = [(Volume of water released for the week)/(Volume of water contained in dam)] x 100% = (15,543,360,000/1,800,000,000,000) x 100%= 0.864%