Project ForgeFluid Mechanics
Mechanical Operations
GATE 2019
Medium
Consider a cylinder (diameter D and length D), a sphere (diameter D), and a cube (side length D). Which statement concerning sphericity (Φ) is true?
- Φsphere > Φcylinder > Φcube
- BΦsphere = Φcylinder = Φcube
- CΦsphere < Φcylinder < Φcube
- DΦcylinder > Φsphere = Φcube
Explanation
Sphericity Φ=1 for a sphere (maximum possible, by definition). For a cylinder with L=D, Φ≈0.87; for a cube, Φ≈0.81. So Φsphere>Φcylinder>Φcube.
Source: GATE CH 2019 (2019)
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