A glass sphere has a cavity inside it. whhen placed in water, it floats with `20` of its volume above the water surface. Find the volume of the cavity as a fraction of total volume (density of glass `=2.5g//"cc")`.
Text Solution
AI Generated Solution
To solve the problem, we will use the principles of buoyancy and the relationship between the densities of the materials involved. Let's break it down step by step.
### Step 1: Understand the problem
We have a glass sphere with a cavity inside it that floats in water. The sphere floats with 20% of its volume above the water surface, which means 80% of its volume is submerged.
### Step 2: Set up the equations
According to Archimedes' principle, the buoyant force acting on the sphere is equal to the weight of the water displaced by the submerged part of the sphere.
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