Volume of The Sphere as Time Dilation
The diameter of a sphere is 2 units from any radius R1. This allows for comparison of calculation formulas.
1. Volume
a) Formula 1 b) Formula 2
V = π * d3 V = 4 * π * r3
6 3
V = π * 23 V = 4 * π * 13
6 3
V = 4.189 V = 4.189
2. Surface area of a sphere
a) Formula 1
A = 4 * π * r2
A = 12.566
b) Formula 2
A = p x d p = ball circumference d = diameter of the ball
A = 6.283 x 2
A = 12.56(6)
3. The ratio of the surface area and volume of a sphere
12,566 / 4,189 = 3
Volume of a sphere in the ancient way
The ancient cubit was 523 millimeters long. Fourteen of these measuring rods have been found on both sides of the Atlantic Ocean. The picture shows the measuring rod found in Tutankhamun's tomb. Its mathematical length was 523.5023 millimeters.
We have determined the length of the prehistoric measuring stick to be 523 millimeters. At that time, the metric unit was not used. If the metric unit was known, it meant that the largest sphere that could fit into a 1000 liter cube was 523 liters. The volume that the owner of the measuring stick determined from any cube by a factor of 0.523. Conversely, the volume of the largest sphere that can fit inside a cube by a factor of 1.913.
0.523 x ? = 523 (in any unit of measurement)
? / 1.913 = 0.523
Volume of the sphere V = 4 x π x 0,53 / 3 m3
V = 0.523
(note 4 x π x 0,53 = 1.57)
4.8.2015*20:40 (1246 - 1245)
www.karikolehmainen.com
epcalculation@gmail.comi
|
