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If a cylindrical vessel of given volume ...

If a cylindrical vessel of given volume V with non lid on the top is to be made from a sheet of metal, then the radius (r) and height (h) of the vessel so that the metal sheet used is minimum is

A

`r = 3 sqrt((pi)/(V)),h= 3 sqrt((pi)/(V))`

B

`r = sqrt(pi V), h = sqrt(pi V)`

C

`r = 3 sqrt((V)/(pi)),h= 3 sqrt((V)/(pi))`

D

`r = sqrt((V)/(pi)),h = sqrt((V)/(pi))`

Text Solution

Verified by Experts

The correct Answer is:
C
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