Question

A conical vessel of radius 6cm and height 8cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. What fraction of water overflows?

Answer 1

Answer:

Step-by-step explanation:

Given:

Radius, PX

r = 6 cm

Height, PZ

h = 8 cm

To Find:

Fraction of overflowed water = ?

Solution:

According to the given values,

⇒    

⇒    

Now,

⇒            

⇒            

Therefore,

           

On applying cross-multiplication, we get

⇒          

⇒          

⇒            

⇒              

⇒              

Now,

Volume of the sphere =  

                                    =  

Fraction of overflowed water will be: