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A cast steel slab of dimension 40×20×10 cm, is poured horizontally using a side riser. The riser is cylindrical in shape with diameter and height both equal to 20 cm. Then the freezing ratio is___.
- a)1
- b)1.167
- c)1.2
- d)1.5
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A cast steel slab of dimension 40×20×10 cm, is poured horizontally us...
Modulus MC = 
= 20/7
Modulus MR = 
= D/6
= D/6Freezing ratio = MR / MC
= 
= 
= 1.167
Most Upvoted Answer
A cast steel slab of dimension 40×20×10 cm, is poured horizontally us...
Calculation of Freezing Ratio:
1. Volume of the cast steel slab:
- Given dimensions: 40×20×10 cm
- Volume = Length × Width × Height
- Volume = 40 cm × 20 cm × 10 cm = 8000 cm³
2. Volume of the riser:
- Diameter = Height = 20 cm
- Volume = πr²h (Volume of a cylinder)
- Volume = π(10 cm)² × 20 cm = 2000π cm³
3. Total volume to be solidified:
- Total volume = Volume of slab + Volume of riser
- Total volume = 8000 cm³ + 2000π cm³ ≈ 8627.5 cm³
4. Freezing Ratio formula:
- Freezing Ratio = Total volume to be solidified / Volume of casting
- Freezing Ratio = 8627.5 cm³ / 8000 cm³ ≈ 1.083
Therefore, the freezing ratio is approximately 1.083, which is closest to option (b) 1.167.
1. Volume of the cast steel slab:
- Given dimensions: 40×20×10 cm
- Volume = Length × Width × Height
- Volume = 40 cm × 20 cm × 10 cm = 8000 cm³
2. Volume of the riser:
- Diameter = Height = 20 cm
- Volume = πr²h (Volume of a cylinder)
- Volume = π(10 cm)² × 20 cm = 2000π cm³
3. Total volume to be solidified:
- Total volume = Volume of slab + Volume of riser
- Total volume = 8000 cm³ + 2000π cm³ ≈ 8627.5 cm³
4. Freezing Ratio formula:
- Freezing Ratio = Total volume to be solidified / Volume of casting
- Freezing Ratio = 8627.5 cm³ / 8000 cm³ ≈ 1.083
Therefore, the freezing ratio is approximately 1.083, which is closest to option (b) 1.167.
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A cast steel slab of dimension 40×20×10 cm, is poured horizontally using a side riser. The riser is cylindrical in shape with diameter and height both equal to 20 cm. Then the freezing ratio is___.a)1b)1.167c)1.2d)1.5Correct answer is option 'B'. Can you explain this answer?
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