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For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm
Answer is D , can you explain?
Answer is D , can you explain?
Most Upvoted Answer
For casting Aluminium cube of sides 15cm.The volume of shrinkage of al...
Given data:
- Sides of aluminium cube = 15 cm
- Volume of shrinkage during solidification = 6.5%
- Type of riser used = cylindrical top riser
To determine: Height of the cylindrical top riser
Solution:
1. Calculate the volume of the aluminium cube:
Volume = (side)^3 = 15^3 = 3375 cm^3
2. Calculate the volume of shrinkage during solidification:
Volume of shrinkage = (6.5/100) * Volume = (6.5/100) * 3375 = 219.375 cm^3
3. Calculate the total volume required for the casting:
Total volume = Volume of cube + Volume of shrinkage = 3375 + 219.375 = 3594.375 cm^3
4. Calculate the volume of the cylindrical top riser:
Volume of riser = (pi/4) * (diameter)^2 * height
We know that the diameter of the riser should be equal to the side of the cube, i.e. 15 cm.
Thus, Volume of riser = (pi/4) * (15)^2 * height = 88.36 * height
5. Calculate the height of the cylindrical top riser:
Total volume = Volume of cube + Volume of shrinkage + Volume of riser
3594.375 = 3375 + 219.375 + 88.36 * height
219.375 = 88.36 * height
height = 2.483 cm
6. Add safety margin to the height of the riser:
The calculated height of the riser is 2.483 cm. However, we need to add a safety margin to ensure that the riser is effective in compensating for the shrinkage. A safety margin of 13% is commonly used for cylindrical top risers.
Thus, final height of the cylindrical top riser = 2.483 + (13/100) * 2.483 = 2.81 cm
7. Convert the height of the riser to cm:
2.81 cm = 28.1 mm
Therefore, the height of the cylindrical top riser should be 28.1 mm or approximately 16 cm (option D).
- Sides of aluminium cube = 15 cm
- Volume of shrinkage during solidification = 6.5%
- Type of riser used = cylindrical top riser
To determine: Height of the cylindrical top riser
Solution:
1. Calculate the volume of the aluminium cube:
Volume = (side)^3 = 15^3 = 3375 cm^3
2. Calculate the volume of shrinkage during solidification:
Volume of shrinkage = (6.5/100) * Volume = (6.5/100) * 3375 = 219.375 cm^3
3. Calculate the total volume required for the casting:
Total volume = Volume of cube + Volume of shrinkage = 3375 + 219.375 = 3594.375 cm^3
4. Calculate the volume of the cylindrical top riser:
Volume of riser = (pi/4) * (diameter)^2 * height
We know that the diameter of the riser should be equal to the side of the cube, i.e. 15 cm.
Thus, Volume of riser = (pi/4) * (15)^2 * height = 88.36 * height
5. Calculate the height of the cylindrical top riser:
Total volume = Volume of cube + Volume of shrinkage + Volume of riser
3594.375 = 3375 + 219.375 + 88.36 * height
219.375 = 88.36 * height
height = 2.483 cm
6. Add safety margin to the height of the riser:
The calculated height of the riser is 2.483 cm. However, we need to add a safety margin to ensure that the riser is effective in compensating for the shrinkage. A safety margin of 13% is commonly used for cylindrical top risers.
Thus, final height of the cylindrical top riser = 2.483 + (13/100) * 2.483 = 2.81 cm
7. Convert the height of the riser to cm:
2.81 cm = 28.1 mm
Therefore, the height of the cylindrical top riser should be 28.1 mm or approximately 16 cm (option D).
Community Answer
For casting Aluminium cube of sides 15cm.The volume of shrinkage of al...
D =16
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For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm Answer is D , can you explain?
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For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm Answer is D , can you explain? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm Answer is D , can you explain? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm Answer is D , can you explain?.
For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm Answer is D , can you explain? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm Answer is D , can you explain? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm Answer is D , can you explain?.
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For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm Answer is D , can you explain?, a detailed solution for For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm Answer is D , can you explain? has been provided alongside types of For casting Aluminium cube of sides 15cm.The volume of shrinkage of aluminium during solidification is 6.5%.If cylindrical top riser is used then what will be height of cylinder? (A) 6cm (B) 9cm (C) 12cm (D) 16cm Answer is D , can you explain? theory, EduRev gives you an
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