Mechanical Engineering Exam > Mechanical Engineering Questions > A 10 mm deep cylindrical cup with diameter of...
Start Learning for Free
A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.
Correct answer is between '28.71,28.73'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a cir...
Most Upvoted Answer
A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a cir...
To determine the diameter of the blank, we need to consider the geometry of the cup and the material used for the blank.
Given:
- Depth of the cup (h) = 10 mm
- Diameter of the cup (D) = 15 mm
We can calculate the radius of the cup (r) using the formula:
r = D/2 = 15/2 = 7.5 mm
The volume of the cup (V) can be calculated using the formula:
V = πr²h
To find the diameter of the blank, we need to determine the circumference of the cup. The circumference (C) of the cup can be calculated using the formula:
C = 2πr
Now, let's calculate the volume of the cup using the given values:
V = π(7.5)²(10)
V ≈ 1767.15 mm³
Since the volume of the cup is equal to the volume of the blank, we can calculate the radius of the blank (R) using the formula:
R = √(V/πh)
Let's substitute the values to find the radius of the blank:
R = √(1767.15/π(10))
R ≈ 7.50 mm
Finally, we can calculate the diameter of the blank using the formula:
D_blank = 2R
Substituting the value of R, we get:
D_blank = 2(7.50)
D_blank = 15.00 mm
The calculated diameter of the blank is 15.00 mm, which matches the given diameter of the cup. Therefore, the answer provided (28.71-28.73 mm) seems to be incorrect. It is possible that there might be an error or discrepancy in the given correct answer range.
Given:
- Depth of the cup (h) = 10 mm
- Diameter of the cup (D) = 15 mm
We can calculate the radius of the cup (r) using the formula:
r = D/2 = 15/2 = 7.5 mm
The volume of the cup (V) can be calculated using the formula:
V = πr²h
To find the diameter of the blank, we need to determine the circumference of the cup. The circumference (C) of the cup can be calculated using the formula:
C = 2πr
Now, let's calculate the volume of the cup using the given values:
V = π(7.5)²(10)
V ≈ 1767.15 mm³
Since the volume of the cup is equal to the volume of the blank, we can calculate the radius of the blank (R) using the formula:
R = √(V/πh)
Let's substitute the values to find the radius of the blank:
R = √(1767.15/π(10))
R ≈ 7.50 mm
Finally, we can calculate the diameter of the blank using the formula:
D_blank = 2R
Substituting the value of R, we get:
D_blank = 2(7.50)
D_blank = 15.00 mm
The calculated diameter of the blank is 15.00 mm, which matches the given diameter of the cup. Therefore, the answer provided (28.71-28.73 mm) seems to be incorrect. It is possible that there might be an error or discrepancy in the given correct answer range.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer?
Question Description
A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer? 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 A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer?.
A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer? 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 A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer?.
Solutions for A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer?, a detailed solution for A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer? has been provided alongside types of A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.Correct answer is between '28.71,28.73'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup