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The sides of a cuboid are 2x,4x , 5x. Th...

The sides of a cuboid are `2x,4x , 5x`. There is a closed hemisphere of radius r.the sum of their surface area is a constant k. What is the ratio of `x:r` such that the sum of their volume is maximum ?

A

`19/45`

B

`45/19`

C

`19/24`

D

`24/7`

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