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Some young entrepreneurs started an indu...

Some young entrepreneurs started an industry "young achievers" for casting metal into various shapes . They put up and advertisement online stating the same and expecting order to cast metal for toys, sculptures , decorative pieces and more .
A group of friends wanted to make innovative toys and hence contacted the "young achievers" to order them to cast metal into solid half cylinders with a rectangular based semi-circular ends

Based on the above informtion , answer the following questions:
For the given half- cylinder of volume V, the total surface area S is minium , when:

A

`(pi+2)V = pi^(2)r^(3)`

B

`(pi + 2)V =pi^(2)r^(3)`

C

`2(pi + 2)V =pi^(2)r^(3)`

D

`(pi + 2)V =pi^(2)r`

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