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List of top Manufacturing Processes I Questions on Casting Design: Risering and Chvorinov's Rule asked in GATE PI

A steel cube of side 10 cm is made by the sand-casting process. A cylindrical side-riser with diameter, \( d \), and height, \( h \), needs to be used.
Assume:
  • No surface sharing between the riser and casting.
  • \( d = h \).
  • The connecting link between the riser and casting does not freeze before the casting.
  • All the surfaces of the riser and casting are subjected to identical cooling conditions.
In this situation, which ONE or MORE among the following values of \( d \) (in cm) can theoretically fully compensate for shrinkage during casting?
  • GATE PI - 2026
  • GATE PI
  • Manufacturing Processes I
  • Casting Design: Risering and Chvorinov's Rule