GATE CE 2020 Set 2 — Question 50
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Engineering Mathematics → Numerical Solution of Equations → Absolute & Relative Error
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Question
The diameter and height of a right circular cylinder are and , respectively. The absolute error in each of these two measurements is . The absolute error in the computed volume (in , round off to two decimal places), is ___________.
Correct answer
5.18 to 5.2
Solution
The volume of a right circular cylinder is given by .
The absolute error in volume can be estimated using partial derivatives:Given , , and :Rounding off to two decimal places, the absolute error is .
The absolute error in volume can be estimated using partial derivatives:Given , , and :Rounding off to two decimal places, the absolute error is .
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