If all the people in the world jumped into Crater Lake, how much would the water level rise?
Crater Lake National Park
I have highlighted below some important information that can be used to solve this problem along with a few assumptions.
In March 2020, the world's population was estimated to be 7,800,000,000 people. It took over 2 million years of human history
for the world's population to reach 1 billion, and only 200 years more to reach 7 billion. Dan Brown addresses population growth in his novel, Inferno.
According to Wikipedia, Crater Lake is 1,943 feet deep and has a surface area of 20.6 square miles. Assume that the lake is roughly conical.
According to the website www.livescience.com, the average body mass, globally, was 136 pounds (62 kilograms). In North America,
which has the highest average body mass of any continent, the number was 178 pounds (80.7 kg). The density of water is approximately 62 pounds per cubic foot, and
we are almost the same density, so the volume of the average human in the world is about 2.176 cubic feet.
When solving the problem, assume that the surface area of the Lake stays the same,
so that only the height is affected by all the people jumping into the lake. In reality, the surface area would probably expand, so the height would actually
be smaller than the number you calculate.
Mrs. P at Crater Lake National Park in 2010
Extra Credit:
If all the people in the world junped into Lake Tahoe instead, how much would the water level rise?
According to Wikipedia, Lake Tahoe is 1,645 feet deep and has a surface area of 191.6 square miles.
Crater Lake National Park
Mrs. P at Crater Lake National Park in 2010