1. We will use the earth's radius as 3959 mi, and treat it as if it were a perfect sphere. That fact means that the radius from the center of the earth to any point plus the height of the building will give a length of 3959.34 miles.
From the top of the building, we extend a tangent which will intersect with the extended radius of the earth.
We then have a 45-45-90o triangle. From that information, we can computer the length of the hypotenuse.
The distance a person could see would be the distance to the midpoint of the hypotenuse, or about 2692 miles.
2. From the circumference of the barrel, we can derive the radius, which is 11cm. Using the formula for the Volume of a cylinder, pi x r2 x h, you will be able to calculate the volume.
3. this question is unclear to me
4. the largest rectangle would be a square with an perimeter of 48 feet, meaning the sides are 12 feet, so the Area = L x W = 12 x 12 = 144f2
5.The population density of a region is 112 people/mi2
The area of the region the people populate is 17 mi2
The area of the region the people populate is 17 mi2
Population = density x area = 112people/m2 x 17mi2 = 1904 people
6. 15 people/km^2 and population of about 41,803,125
Area = population ÷ density = 41,803,125people ÷ 15people/km2 =
2,786,875km2
7. 8cm3 and a mass of 108 g. What is the density of the lead?
Density = mass/volume = 1008g/8cm3 = 13.5g/cm3
