Who discovered the surface area of a sphere?
Archimedes, (born c. 287 bce, Syracuse, Sicily [Italy]—died 212/211 bce, Syracuse), the most famous mathematician and inventor in ancient Greece. Archimedes is especially important for his discovery of the relation between the surface and volume of a sphere and its circumscribing cylinder.
Who invented the formula for surface area?
Archimedes
A spectacular landmark in the history of mathematics was the discovery by Archimedes (287-212 B.C.) that the volume of a solid sphere is two- thirds the volume of the smallest cylinder that surrounds it, and that the surface area of the sphere is also two-thirds the total surface area of the same cylinder.
HOW surface area of sphere is derived?
The surface area of the sphere gets one-fourth when the radius is halved because r becomes r/2. As, the surface area of a sphere = 4πr2, so, if we replace ‘r’ with r/2, the formula becomes 4π(r/2)2 = πr2 which is one-fourth of the surface area.
When did Archimedes discover surface area?
. 225 BCE
On the Sphere and Cylinder (Greek: Περὶ σφαίρας καὶ κυλίνδρου) is a work that was published by Archimedes in two volumes c. 225 BCE. It most notably details how to find the surface area of a sphere and the volume of the contained ball and the analogous values for a cylinder, and was the first to do so.
How did Archimedes discover surface area?
Taking one hemisphere gave him a shape with a flat surface to work with – easier than a sphere, and if he could find the volume of a hemisphere, doubling it would give him the volume of a sphere. He then imagined placing the hemisphere face down on a flat surface.
What is CSA and TSA of sphere?
The formula does not take into account the circular base. The total surface area, on the other hand, is a combination of the curved area along with the area of the base The formula for the total surface area and the curved surface area of the sphere is given below. Surface area (TSA) = CSA = 4πr² square units.
What is total surface area of sphere?
The total surface area of a sphere = 4 π r2 square units.
What is written on Archimedes tomb?
Cicero found the tomb in 75 BC. He wrote: “So one of the most famous cities in the Greek world would have remained in total ignorance of the tomb of the most brilliant citizen it had ever produced, had a man from Arpinum not come and pointed it out!”