A cuboid of dimensions 8cm ×12cm×14cm is cut into recasted into 15 sphere . Find the radius of each sphere .
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volume of cuboid =8*12*14=1344 cu cm
volume of each sphere=(4/3*π*r^3)/15
volume of each sphere=1344/15 cu cm
Therefore, 1344/15=(4/3*π*r^3)/15
or, 1344/14=4/3*π*r^3
or, 333/11=4/3*r^3
or, 999/44=r^3
or,
![\sqrt[3]{ \frac{999}{44} } = r](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B+%5Cfrac%7B999%7D%7B44%7D+%7D++%3D++r "\sqrt[3]{ \frac{999}{44} } = r")
volume of each sphere=(4/3*π*r^3)/15
volume of each sphere=1344/15 cu cm
Therefore, 1344/15=(4/3*π*r^3)/15
or, 1344/14=4/3*π*r^3
or, 333/11=4/3*r^3
or, 999/44=r^3
or,
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