Suppose a U.S. presidential candidate announced that, if elected, he would create a national park out of trash. For a period of one year, all residential and commercial trash usually sent to landfills would be trucked to a central spot. Over time, the trash would spread out in an ever-widening circle to a thickness of 3 feet. The latest scientific methods would be applied to convert the trash to playgrounds and picnic areas. The candidate also promised to reside at the center of the park. (don't know if that's relevant)
The candidate's environmental policy committee found that 60% of American trash is residential, while 40% is commercial. Four hundred and twenty-five pounds of residential trash occupy one cubic yard; whereas 375 pounds of commercial trash occupy one cubic yard.The total amount of trash dumped per day is 570,000 tons. find the total volume of commercial plus resid
There are 0.60x570,000 = 342,000 tons = 6.84*10^8 lb per day of residential trash, occupying 1.609*10^6 cubic yards.
There are 0.40*570,000 = 228,000 tons = 4.56*10^8 lb per day of commercial trash, occupying 1.216*10^6 cubic yard.
Total cubic yards per day = 2.825*10^6 cubic yards.
Multiply this by 365 days for the volume deposited in a year. I get 1.616*10^9 cubic yards.
The area will be 1.616*10^9 square yards, since it is a yard thick.
The radius will be 22704 yards, or 12.89 miles.
It's a multiple choice, those aren't one of the options. I'm not understanding where you got some of your numbers. Should 342,000 and 228,000 be divided by 425 to get the cubic yards?
The two types of garbage get divided by different densities to get volumes.
The problem may be that the 60/40 ratio applies to volumes and not weights. That would require a different method. They should have said which it is.
I also could have made a math error. It happens.
To find the total volume of commercial plus residential trash dumped per day, we need to calculate the volume of each type of trash separately and then add them together.
First, let's calculate the volume of residential trash:
Given that 425 pounds of residential trash occupy one cubic yard, we can convert the daily amount of residential trash to cubic yards as follows:
(570,000 tons/day) x (2000 pounds/ton) x (1 cubic yard / 425 pounds) = X cubic yards/day
Calculating this, we get:
(570,000 x 2000) / 425 = 2,682,352.94 cubic yards/day of residential trash
Next, let's calculate the volume of commercial trash:
Given that 375 pounds of commercial trash occupy one cubic yard, we can convert the daily amount of commercial trash to cubic yards as follows:
(570,000 tons/day) x (2000 pounds/ton) x (1 cubic yard / 375 pounds) = Y cubic yards/day
Calculating this, we get:
(570,000 x 2000) / 375 = 3,040,000 cubic yards/day of commercial trash
Now, to find the total volume of commercial plus residential trash, we can simply add the two volumes together:
X + Y = Total volume of commercial plus residential trash
Substituting the values we calculated, we have:
2,682,352.94 + 3,040,000 = Total volume of commercial plus residential trash
Calculating this, we get:
5,722,352.94 cubic yards/day of total commercial plus residential trash dumped.
Therefore, the total volume of commercial plus residential trash dumped per day is approximately 5,722,352.94 cubic yards.