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What's more important is knowing the formulae for a sphere which are:- Volume of a sphere = 4/3*pi*radius3 Surface area of a sphere = 4*pi*radius2
A sphere.
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.
We're having a hard time making out the dark grey area from here. But the intersection of a plane and a sphere is always a circle.