THE Method of Equilibrium
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.
Volume of a sphere = 4/3*pi*radius3
215bc
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.
How? With his brain! That's how he answered it
Volume of a sphere = 4/3*pi*radius3 and legend has it that Archimedes was having a bath when he discovered the formula
THE Method of Equilibrium
The formula for the volume of a sphere was discovered by the ancient Greek mathematician Archimedes.
4/3 *PI* r3 The formula was first derived by Archimedes, who showed that the volume of a sphere is 2/3 that of a circumscribed cylinder.
1805
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.
Archimedes
It is called the method of equilibrium
The volume of a sphere is 4 / 3 * pi * r3
Volume of a sphere = 4/3*pi*radius3
use the formula 4/3*π*radius3 to find the volume of a sphere.