A solid sphere of radius 5 cm floats in water. If a maximum load of 0.1 kg can be put on it without wetting the load, find the specific gravity of the material of the sphere.

Explanation

To solve the problem, we need to find the specific gravity of the material of the sphere given that it can float in water with a maximum load of 0.1 kg. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the forces acting on the sphere
When the sphere is floating in water, the buoyant force acting on it must balance the weight of the sphere plus the weight of the load placed on it.

### Step 2: Write down the equations
The buoyant force \( F_b \) can be expressed as:
\[
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