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(i) To find the volume of the body, we can use the principle of buoyancy. The loss in weight of the body when immersed in water represents the buoyant force acting on it, which is equal to the weight of the water displaced by the body. Using the formula:

Volume of the body = (Weight in air - Weight in water) / Density of water

(ii) The loss in weight of the body is the difference between its weight in air and its weight in water. It can be calculated by subtracting the weight in water from the weight in air.

Loss in weight = Weight in air - Weight in water

(iii) The upthrust on the body is equal to the weight of the water displaced by the body. It can be calculated using the weight in water.

Upthrust = Weight in water

Assumption made in part (1): The assumption made is that the density of the body is equal to the density of water.

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Explanation:

To find the volume of the body, the loss in weight of the body, and the upthrust on the body, you can use the principles of buoyancy. Here are the steps to solve each part of the problem:

(i) Volume of the body:

You can use Archimedes' principle, which states that the buoyant force acting on a submerged object is equal to the weight of the fluid displaced by the object. In this case, the loss in weight when submerged in water represents the buoyant force. The volume of the body is given by the formula:

Volume = (Loss in weight in air - Loss in weight in water) / Density of water

Where:

Loss in weight in air = 450 gf

Loss in weight in water = 310 gf

Density of water ≈ 1 g/cm³

Calculate the volume using the above formula.

(ii) Loss in weight of the body:

The loss in weight of the body is simply the difference between its weight in air and its weight in water:

Loss in weight = Weight in air - Weight in water

(iii) Upthrust on the body:

The upthrust on the body is the same as the buoyant force, which is equal to the weight of the water displaced by the body. Use the formula:

Upthrust = Loss in weight in water

Assumption made in part (1):

The assumption made is that the density of the body is greater than the density of water. This is a fundamental assumption for Archimedes' principle to apply, as the body needs to displace water when submerged.