A hollow spherical shell is made of a metal of density 4.5g per cm3 . If its internal and external radii are 8 cm and 9 cm respectively, find the weight of the shell.
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Internal radius of the hollow spherical shell, r= 8 cm
External radius of the hollow spherical shell, R= 9 cm
Volume of the shell = 43π(R3−r3)
=43π(93−83)=43×227×(729−512)=4×22×21721=88×313=27283cm3
Weight of the shell = volume of the shell ×density per cubic cm
= 27283×4.5≈4092 g = 4.092 kg
∴ Weight of the shell = 4.092 kg
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