It is called the method of equilibrium
The ancient Greek mathematician Archimedes proved that the volume of a sphere is four times that of the cone with base equal to a great circle of the sphere and height the radius of the sphere. Maybe this is what the poser of the question meant.
Although some have said Archimedes, my opinion is that the formulas for area and perimeter of a rectangle were well known before his time (300BC). The Babylonians in 1500BC knew how to create Pythagorean triples, so I wouldn't be surprised if they knew this. Archimedes did discover more difficult formulas, such as perimeter and area of a circle, and volume of a sphere and a cone.
Since a sphere is round it is a shape without a face.
A sphere has no corners, it is a 3-D circle.
It is incorrect to say that sphere has lateral area. First sphere do not have sides like other geometric figure. In fact a line or plane can intersect the surface of a sphere in just one point. Sphere has no lateral side. It is enough to say surface area of sphere than lateral surface area of the sphere.
THE Method of Equilibrium
The Archimedes Sphere, also known as the Sphere of Archimedes, played a significant role in Greek mythology as it was believed to have been a powerful weapon created by the legendary mathematician and inventor Archimedes. According to the myth, the sphere had the ability to harness the power of the sun and use it as a destructive force against enemy ships.
Volume of a sphere = 4/3*pi*radius3 and legend has it that Archimedes was having a bath when he discovered the formula
The formula for the volume of a sphere was discovered by the ancient Greek mathematician Archimedes.
The equation is: (4/3)Pie r3The worded equation is: Four thirds Pie multiplied by the radius cubed.answer 2 Archimedes might have immersed the sphere in a liquid, and measured the volume that was displaced.
How? With his brain! That's how he answered it
Archimedes.
Archimedes made a number of significant contributions to mathematics. These include studies on the sphere and cylinder, the measurement of the circle, and the circumference / diameter ratio.
Archimedes made a number of significant contributions to mathematics. These include studies on the sphere and cylinder, the measurement of the circle, and the circumference / diameter ratio.
He discovered the relationship between a sphere and a circumscribed cylinder of the same height and diameter. The volume is 4⁄3πr3 for the sphere, and 2πr3 for the cylinder. The surface area is 4πr2 for the sphere, and 6πr2 for the cylinder (including its two bases), where r is the radius of the sphere and cylinder. The sphere has a volume and surface area two-thirds that of the cylinder. A sculpted sphere and cylinder were placed on the tomb of Archimedes at his request.
The ancient Greek mathematician Archimedes proved that the volume of a sphere is four times that of the cone with base equal to a great circle of the sphere and height the radius of the sphere. Maybe this is what the poser of the question meant.
Archimedes is especially important for his discovery of the relation between the surface and volume of a sphere and its circumscribing cyclinder. He is known for his formulation of a hydrostatic principle (known as Archimedes' principle) and a device for raising water, still used in developing countries, known as the Archimedes screw.