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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Application of Derivatives

NDA 2017 · Mathematics · Application of Derivatives

A cylindrical jar without a lid has to be constructed using a given...

A cylindrical jar without a lid has to be constructed using a given surface area of a metal sheet. If the capacity of the jar is to be maximum, then the diameter of the jar must be k times the height of the jar. The value of k is

Options

  1. A11
  2. B22
  3. C33
  4. D44

Correct answer

B. 22

Step-by-step solution

The capacity of the jar will be maximum if height and radius of the cylinder are equal. ∴\therefore height = radius\ldots(i) Given diameter is k times the height of the jar. Diameter =2×=2 \times radius =2×=2 \times height \ldots(from(1)) ∴k=2\therefore \mathrm{k}=2.
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