Q32 of 107 Page 16

Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimension 16 cm × 8 cm × 8 cm when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid.

Volume of sphere 3


= 33.50 cm3


Volume of 16 spheres = 16 × 33.50


= 536cm3


Volume of rectangle = 16cm × 8cm × 8cm


= 1024cm3


Volume of this liquid = 1024cm3 – 536cm3


= 488cm3


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