Mathematics · Geometry and Mensuration
Four identical incompressible spheres of radius 1 unit are placed on a flat horizontal plane such that their centers form a square of side 2 units. A fifth identical sphere is stacked on top of them, resting symmetrically in the depression formed by the base four spheres. What is the total vertical height of this pyramidal structure?
- 13
- 22 + √2✓
- 32 + √3
- 42 + √2
Correct answer
2 + √2
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