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 ?

`2:5`

`19:45`

`3:8`

`19:15`

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