The metallic spheres each of radius 2 cm area packed into a rectangular box of internal dimension 16...........

Quantitative Aptitude ( CCS) Mensuration 3D

The metallic spheres each of radius 2 cm area packed into a rectangular box of internal dimension 16 cm* 8cm* 8cm where 16 spheres are packed the box is filled with preservation liquid . Find the volume of this liquid ?

258 cm³

588 cm³

488 cm³

128 cm³

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Explanation:

Given,
Radius of the metallic spheres = 2 cm
Volume of the sphere = (4/3)∏×(r)³
= (4/3)∏×(2)³ ……………………………….(i)
Total volume of the 16 spheres = 16 * (4/3)∏×(2)³
Volume of the rectangular box= 16*8*8 cm³³………………………………………(ii)
Subtracting equation (ii) from (i) we get the volume of the liquid
Volume of the liquid = (1024 – 536.16) cm³ =488 cm³
The volume of the liquid is 488 cm³