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The count rate from 100 cm^3 of a radio...

The count rate from 100 `cm^3` of a radioactive liquid is c.Some of this liquid is now discarded. The count rate of the remaining liquid is found to be c/10 after three half-lives. The volume of the remaining liquid, in `cm^3` , is

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Initial count rate (CR) for `1 cm^2` of liquid = `c/100`
After 3 half-lives , CR for `1 cm^3` of liquid =`1/8xxc/100`
Let the volume of the remaining liquid = `V "cm"^3`
CR of this liquid = `V xx c/800 = c/10` or V=80.
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