16 glass spheres,each of radius 2 ,cm,are pac | vedclass

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(C) Given,dimensions of the cuboidal box $= 16 \,cm 	imes 8 \,cm 	imes 8 \,cm$.Volume of the cuboidal box $= 16 	imes 8 	imes 8 = 1024 \,cm^3$.Rad

Vedclass · Accepted Answer

$487.6$

Vedclass · Answer

(C) Given,dimensions of the cuboidal box $= 16 \,cm 	imes 8 \,cm 	imes 8 \,cm$.Volume of the cuboidal box $= 16 	imes 8 	imes 8 = 1024 \,cm^3$.Radius of one glass sphere $(r) = 2 \,cm$.Volume of one glass sphere $= \frac{4}{3} \pi r^3 = \frac{4}{3} 	imes \frac{22}{7} 	imes (2)^3 = \frac{4}{3} 	imes \frac{22}{7} 	imes 8 = \frac{704}{21} \approx 33.524 \,cm^3$.Volume of $16$ glass spheres $= 16 	imes 33.524 = 536.384 \,cm^3$.Volume of water filled $= 	ext{Volume of cuboidal box} - 	ext{Volume of } 16 	ext{ glass spheres}$.Volume of water $= 1024 - 536.384 = 487.616 \,cm^3$.Rounding to one decimal place,the volume is $487.6 \,cm^3$.

$16$ glass spheres,each of radius $2 \,cm$,are packed into a cuboidal box of internal dimensions $16 \,cm \times 8 \,cm \times 8 \,cm$. The box is then filled with water. Find the volume of water filled in the box (in $cm^3$).

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