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Answer»

Concepts:
The buoyant force

Reasoning:
When an object FLOATS, the magnitude of the buoyant force is EQUAL to the magnitude of its weight.

Details of the calculation:
The magnitude of the buoyant force is equal to the the magnitude of the weight wliquid of the displaced liquid.
wliquid = ρliquidVg.
The volume V of the displaced liquid is the volume of ONE HALF sphere, 
V = 2πr3/3 = 2π(6cm)3/3 = 452cm3. 
The magnitude of the weight of the object is wobject = mfrogg.  (We are neglecting the weight of the air-filled pod.)
ρliquidVg = mfrogg.  
mfrog = 1.35(g/cm3)452cm3 = 610g.



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