Question

A cylindrical jar of volume 150cm 3 is full of water. A solid cone is put in the cylindrical jar and some water is drained out. Find the volume of the cone if 2/3 rd of the water still remains in the jar?

Answer 1

volume of water (v1)=150cm^3 
volume of water inside  is 2/3 of volume of water(v2)=150*2/3
volume of cone=v1-v2
                        =150-150*2/3
                        =150-100
                        =50cm^3

Answer 2

Volume of cylinder = 150cm^3
2/3 water still remains in the cylindrical tub
So,amount of water given out=1/3 of 150cm^3 =50cm^3
According to archimedes principle amount of water displaced is the volume of the object immersed in water
So, volume of the the cone will be 50cm^3