Question

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

A. 1

B. 2

C. 3

D. 4

Answer 1

Correct option B. 2

Explanation:

For any open cylinder of surface area, when it has maximum volume, the height and radius of the base are equal.

Therefore diameter of cylinder = Twice of its height So k will be equal to 2