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  • 16 glass spheres each of radius 2 cm are packed into a cuboidal box of internal dimensions 16 cm × 8 cm × 8 cm and then the box is filled with water. Find the volume of water filled in the box.

16 glass spheres each of radius 2 cm are packed into a cuboidal box of internal dimensions 16 cm \times 8 cm \times 8 cm and then the box is filled with water. Find the volume of water filled in the box.

Answers (1)

Answer 487.6 cm3

Solution

            Length of cuboidal box = 16 cm

            Breadth = 8cm

            Height = 8 cm

\text{ Volume}=16 \times 8 \times 8

            Radius of sphere = 2 cm

          \text{ Volume of sphere }=\frac{4}{3}\pi r^3                                                                  

                        =\frac{4}{3}\times \frac{22}{7}\times 2\times 2\times 2 =33.5238cm^3

\text{ The volume of 16 sphere}=16 \times 33.5238

                        =536.3808

            The volume of liquid = volume of the cuboidal box – the volume of 16 spheres

                        =1024 -536.3808

                        =487.6cm^3

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