Gray cast iron blocks of size 100 mm × 50 mm × 10 mm

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Gray cast iron blocks of size 100 mm × 50 mm × 10 mm with a central spherical cavity of diameter 4 mm are sand cast. The shrinkage allowance for the pattern is 3%. The ratio of the volume of the pattern to volume of the casting is

1. 0.913
2. 1
3. 0.951
4. 0.915

Correct Option: A

Ratio of volume of pattern to casting

	[(0.97 × 100)(0.97 × 50)(0.97 × 10)]	= 0.913
	(100 × 50 × 10

Volume of cavity is assumed to be small and negligible.