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Q.

A closed cylinder of given volume will have least surface area when the ratio of its height and base radius is

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a

2 : 1

b

3 : 2

c

2 : 3

d

1 : 2

answer is A.

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Detailed Solution

 

v=πr2h S =2πr2+2πrh=2πr2+vπrd( S)dr=2r−vπr22πr3=v2πr=v2π13h=(2)23vπ13h:r=2:1

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