A cylindrical riser of 6 cm diameter and 6 cm height has

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A cylindrical riser of 6 cm diameter and 6 cm height has to be designed for a sand casting mould for producing a steel rectangular plate casting of 7 cm × 10 cm × 2 cm dimensions having the total solidification time of 1.36 minute. The total solidification time (in minute) of the riser is _____.

1. 4.133 min
2. 7.133 min
3. 3 min
4. None of these

Correct Option: B

	V			=		7 × 10 × 2		= 0.673 cm
	A		_casting			2(7 × 10 + 7 × 2 + 2 × 10)

	V			=		(π / 4)d³
	A		_{Top riser}			{ (π / 4)d² + πd² }

	V			=	d	=	6	= 1.25
	A		_{Top riser}		S		5

	V			=		(π / 4)d³		=	d	= 1 cm
	A		_{Bottom riser}			{ (π / 2)d² + πd² }			6

t_{Top riser}		=	(V / A)²_{Top riser}	=		1.2		²
t_casting			(V / A)²_casting			0.673

t_{Top riser} = 4.133 min

t_{Bottom riser}		=	(V / A)²_{Bottom riser}	=		1		²
t_casting			(V / A)²_casting			0.673

t_{Bottom riser} = 3 min