13. A metal ball of density 7800 kg/m3is suspected to have a large numbr of inner cavities. It weighs 9.8 kg when weighed directly on a balance and 1.5kg less when immersed in water. The fraction by volume of the cavities in the metal ball is approrximately

13. A metal ball of density 7800 kg/m3is suspected to have a large num

1.	13. A metal ball of density 7800 kg/m3is suspected to have a large numbr of inner cavities. It weighs 9.8 kg when weighed directly on a balance and 1.5kg less when immersed in water. The fraction by volume of the cavities in the metal ball is approrximately
Answer» # ANSWER- VOLUME of CAVITY/BALL=0.16 # Explaination- Here when put in water the water displaces/fills the empty cavity. Volume of only metal=mass/density =9.8/7800=1.25×10^-3cu.m Volume of whole ball including cavity= weight of water dispaced/density of water Density of water is 1000kg/cu.m. Volume of whole ball=1.5×10^-3cu.m Volume of cavity=Volume of ball-volume of metal =1.5×10^-3 - 1.25×10^-3 =0.25×10^-3cu.m Ratio of volume of cavity/ball = 0.25×10^-3 / 1.5×10^-3 = 0.16 = 16% 0.16 FRACTION of whole ball is a cavity. i.e.16%.

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13. A metal ball of density 7800 kg/m3is suspected to have a large numbr of inner cavities. It weighs 9.8 kg when weighed directly on a balance and 1.5kg less when immersed in water. The fraction by volume of the cavities in the metal ball is approrximately

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