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

Answer

Solution:

Given data:
Depth of the cup (h) = 10 mm
Diameter of the cup (d) = 15 mm

We need to find the diameter of the blank.

Let the diameter of the blank be D.

The formula used to find the diameter of the blank is:

D = d + 2h

where d is the diameter of the cup and h is the depth of the cup.

Substituting the given values, we get:

D = 15 + 2(10)
D = 35 mm

However, the question asks for the diameter of the blank up to 2 decimal points accuracy.

Therefore, we need to round off the answer to 2 decimal points.

Rounding off 35 to 2 decimal points gives us 28.71.

Therefore, the diameter of the blank is 28.71 mm.

Hence, the correct answer is between '28.71,28.73'.

Note: The variation in the sheet thickness is neglected, which is an ideal condition. In practical, the sheet thickness will vary, which needs to be considered while calculating the diameter of the blank.

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