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Answer for the clue "The roundness of a 3-dimensional object ", 10 letters:
sphericity

Word definitions for sphericity in dictionaries

WordNet Word definitions in WordNet
n. the roundness of a 3-dimensional object [syn: sphericalness , globosity , globularness , rotundity ]

The Collaborative International Dictionary Word definitions in The Collaborative International Dictionary
Sphericity \Sphe*ric"i*ty\, n. [Cf. F. sph['e]ricit['e].] The quality or state of being spherial; roundness; as, the sphericity of the planets, or of a drop of water.

Wiktionary Word definitions in Wiktionary
n. 1 (context chiefly uncountable English) The quality of being spherical, being a sphere. 2 (context geometry countable English) The ratio of the surface area of a given particle to the surface area of a sphere with the same volume.

Wikipedia Word definitions in Wikipedia
Sphericity is a measure of how spherical (round) an object is. As such, it is a specific example of a compactness measure of a shape . Defined by Wadell in 1935, the sphericity, Ψ, of a particle is: the ratio of the surface area of a sphere (with the same ...

Usage examples of sphericity.

They agreed with our concept of sphericity, politely disagreed with our concept of mortality, strongly agreed with the notions of pain and joy.

On-screen schematics flashed by Veidt's device told him little, but it was easy enough to imagine modules being hoisted and repositioned by robotic arms, gigantic plates retracting, a change in the very sphericity of the world.