Final answer:
To find the volume of water displaced by 46kg of copper, mass is converted to grams and divided by copper's density, which results in 5155.16 mL of water displaced. Copper granules will sink in water as its density is higher than water's.
Step-by-step explanation:
To determine the volume of water displaced by 46kg of copper granules, we first convert the mass of copper to grams (since the density is given in grams per cubic centimeter). We have:
46 kg of copper * 1000 g/kg = 46000 g of copper.
Now, we use the density of copper (8.92 g/cm3) to find the volume of copper, which is the same as the volume of water displaced:
Volume of copper = Mass of copper / Density of copper = 46000 g / 8.92 g/cm3 = 5155.16 cm3.
Since 1 cm3 is equivalent to 1 mL, 5155.16 cm3 would be 5155.16 mL of water displaced.
Regarding the second question, since the density of water is 1.00 g/mL, which is lower than that of copper, copper granules will sink in the water.