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A cylindrical side riser is used for a sand casting mold. The casting itself is a rectangular plate with dimensions 7.5 x 12.5 x 2 cm3 . The solidification time for this casting is 1.6 min. The cylinder for the riser has a diameter to height ratio equal to 1. If the riser and casting are in same mold, then for a riser solidification time of 2 min, its dimension is __________ cm
  • a)
    4.6
  • b)
    4.8
Correct answer is between ' 4.6, 4.8'. Can you explain this answer?
Verified Answer
A cylindrical side riser is used for a sand casting mold. The casting...
Volume of plate = 7.5 x 12.5 x 2 = 187.5 cm3
Surface area of plate
= 2 x (7.5 x 12.5 + 7.5 x 2 + 12.5 x 2)
=267.5 cm2
Cm = 3.26 min/cm2
Now, we design the riser so that its solidification time is 2 min, using the same value of mold constant as they both are in the same mold.
Now, triser = 2 min (Given)
D = 4.699 cm
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Most Upvoted Answer
A cylindrical side riser is used for a sand casting mold. The casting...
Given data:
- Dimensions of rectangular plate casting: 7.5 x 12.5 x 2 cm3
- Solidification time for casting: 1.6 min
- Diameter to height ratio of cylindrical riser: 1
- Solidification time for riser: 2 min

Calculating the required dimensions of riser:

1. Calculation of volume of casting:
- Volume = Length x Width x Height
- Volume = 7.5 x 12.5 x 2
- Volume = 187.5 cm3

2. Calculation of volume of riser:
- Volume of riser should be equal to the volume of the solidified casting that would have been in the riser if it had not been used.
- Volume of solidified casting in the riser = Volume of casting x (Solidification time of riser / Solidification time of casting)
- Volume of solidified casting in the riser = 187.5 x (2/1.6)
- Volume of solidified casting in the riser = 234.375 cm3

3. Calculation of dimensions of cylindrical riser:
- Volume of cylindrical riser = πr2h
- Diameter to height ratio of cylindrical riser = 1
- Diameter = 2r
- Let diameter = d and height = h
- d/h = 2/1
- d = 2h
- Volume of cylindrical riser = π(d/2)2h = πh3
- πh3 = 234.375
- h ≈ 4.76 cm
- d = 2h ≈ 9.52 cm

Therefore, the required dimensions of cylindrical riser are approximately 4.76 cm height and 9.52 cm diameter or 4.8 cm diameter rounded to one decimal place. The correct answer is option (b) 4.8 cm.
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A cylindrical side riser is used for a sand casting mold. The casting itself is a rectangular plate with dimensions 7.5 x 12.5 x 2 cm3 . The solidification time for this casting is 1.6 min. The cylinder for the riser has a diameter to height ratio equal to 1. If the riser and casting are in same mold, then for a riser solidification time of 2 min, its dimension is __________ cma) 4.6b) 4.8Correct answer is between ' 4.6, 4.8'. Can you explain this answer?
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