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A cast steel slab of dimension 40 x 20 x 10 cm, is poured horizontally using side riser. The riser is cylindrical in shape with diameter and height both equal to 20 cm.Then the freezing ratio is___.
Correct answer is between '1.6,1.7'. Can you explain this answer?
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A cast steel slab of dimension 40 x 20 x 10 cm, is poured horizontally...
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The freezing ratio of a casting process is defined as the ratio of the volume of the riser to the volume of the casting. In this case, we need to determine the freezing ratio of a cast steel slab poured horizontally using a side riser.
Given dimensions:
- Slab dimensions: 40 x 20 x 10 cm
- Riser diameter: 20 cm
- Riser height: 20 cm
To calculate the freezing ratio, we need to calculate the volumes of the slab and the riser.
1. Calculate the volume of the slab:
Slab volume = length x width x height
= 40 cm x 20 cm x 10 cm
= 8000 cm^3
2. Calculate the volume of the riser:
Riser volume = π x (radius)^2 x height
= π x (10 cm)^2 x 20 cm
= 2000π cm^3
3. Calculate the freezing ratio:
Freezing ratio = Riser volume / Slab volume
= 2000π cm^3 / 8000 cm^3
= π / 4
Approximating the value of π as 3.14, we can calculate the freezing ratio:
Freezing ratio ≈ 3.14 / 4
≈ 0.785
Therefore, the freezing ratio is approximately 0.785.
Since the correct answer is given as between '1.6,1.7', it seems there might be an error in the question or the correct answer. It is not possible for the freezing ratio to be between 1.6 and 1.7 in this case.
Given dimensions:
- Slab dimensions: 40 x 20 x 10 cm
- Riser diameter: 20 cm
- Riser height: 20 cm
To calculate the freezing ratio, we need to calculate the volumes of the slab and the riser.
1. Calculate the volume of the slab:
Slab volume = length x width x height
= 40 cm x 20 cm x 10 cm
= 8000 cm^3
2. Calculate the volume of the riser:
Riser volume = π x (radius)^2 x height
= π x (10 cm)^2 x 20 cm
= 2000π cm^3
3. Calculate the freezing ratio:
Freezing ratio = Riser volume / Slab volume
= 2000π cm^3 / 8000 cm^3
= π / 4
Approximating the value of π as 3.14, we can calculate the freezing ratio:
Freezing ratio ≈ 3.14 / 4
≈ 0.785
Therefore, the freezing ratio is approximately 0.785.
Since the correct answer is given as between '1.6,1.7', it seems there might be an error in the question or the correct answer. It is not possible for the freezing ratio to be between 1.6 and 1.7 in this case.
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A cast steel slab of dimension 40 x 20 x 10 cm, is poured horizontally using side riser. The riser is cylindrical in shape with diameter and height both equal to 20 cm.Then the freezing ratio is___.Correct answer is between '1.6,1.7'. Can you explain this answer?
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