6. a student was conducting an experiment to find the volume of a spherical metal object. he placed it in the graduated cylinder and found the volume to be 5ml. upon taking it out, he accidently dropped and stepped on the sphere, changing it to an egg-shape. if he put the object back in the graduated cylinder, would it affect the volume? why or why not?

                No, it wouldn't affect the volume.

                         Let us suppose the masses of metal object before and after shape change to be,

                              Mass before shape change  =  2.5 g

                                Mass after shape change  =  2.5 g

As the shape change has not affected on the mass so in both states it will remain 2.5 g.

Secondly, as density will remain same for both states because it is intensive property of a particular matter and is considered a characteristic property. Hence, it will also remain constant before and after shape change. Assume the density to be 2 g.mL⁻¹.

Therefore the volume calculated will be,

Before shape change:

                                   Volume-1  =  Density × Mass

                                   Volume-1  =  2 g.mL⁻¹ × 2.5 g

                                   Volume-1  =  5 mL

After shape change:

                                   Volume-2  =  Density × Mass

                                   Volume-2  =  2 g.mL⁻¹ × 2.5 g

                                   Volume-2  =  5 mL

                  The volume is not affected by changing shape. Hence, after shape change the object will be having a volume of 5 mL.

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