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A casting of cubical shape sturcure is reruired with 60 mm side. assume volume shrinkage of casting as 2.3% ..if thee height of the side riser is 30 mm and eiser volume deired is 4 times the shrinkage in casting then appropriate riser diameter is? a)15
b)20
c)29
d)120
d is the correct answer can you explain?
Most Upvoted Answer
A casting of cubical shape sturcure is reruired with 60 mm side. assum...
**Given Information:**
- Cubical shaped casting with a side length of 60 mm is required.
- Volume shrinkage of the casting is 2.3%.
- The height of the side riser is 30 mm.
- The desired volume of the riser is 4 times the shrinkage in the casting.

**To Find:**
The appropriate riser diameter.

**Solution:**

1. Calculate the volume of the casting:
- Volume of a cube = (Side length)^3
- Volume of the casting = (60 mm)^3

2. Calculate the shrinkage in the casting:
- Shrinkage = (Shrinkage percentage / 100) * Volume of the casting

3. Calculate the desired volume of the riser:
- Desired volume of the riser = 4 * Shrinkage in the casting

4. Calculate the volume of the riser:
- Volume of a cylinder = π * (Riser diameter/2)^2 * Riser height
- Volume of the riser = Desired volume of the riser

5. Rearrange the equation for the volume of the riser to solve for the riser diameter:
- Riser diameter = (2 * (Desired volume of the riser) / (π * Riser height))^0.5

Substitute the values:
- Riser diameter = (2 * (4 * Shrinkage in the casting) / (π * 30 mm))^0.5

6. Calculate the riser diameter using a calculator:
- Riser diameter ≈ 29.03 mm

**Answer:**
The appropriate riser diameter is approximately 29 mm. Therefore, the correct option is (c) 29.
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A casting of cubical shape sturcure is reruired with 60 mm side. assume volume shrinkage of casting as 2.3% ..if thee height of the side riser is 30 mm and eiser volume deired is 4 times the shrinkage in casting then appropriate riser diameter is? a)15 b)20 c)29 d)120 d is the correct answer can you explain?
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