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NDA2017MathematicsApplication of DerivativesActual

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. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

The capacity of the jar will be maximum if height and radius of the cylinder are equal. height = radius (i) Given diameter is k times the height of the jar. Diameter =2 radius =2 height (from(1)) k =2 .

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