Complete Question
An object floats in water with 5/8 of its volume submerged. The ratio of the density of the object to that of water is:
(a) 8/5
(b) 1/2
(c) 3/8
(d) 5/8
(e) 2/1
Answer:
The correct option is d
Step-by-step explanation:
From the question we are told that
The ratio of the volume of the object submerged to the total volume of the object is

Generally the buoyancy force acting on the object is equal to the weight of the water displaced and this is mathematically represented as

Now the mass of the water displaced is mathematically represented as

While the mass of the object is mathematically represented as

So
=>

From the question that it volume of the water displace (equivalent to the volume of the object in water ) to the volume of the total object is

So
