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CBSE Class 9 Answered

How many spherical bullets can be made out of a solid cube of lead, whose edge measures 40 m, each bullet being 6 m in diameter.
Asked by mkmishra101 | 09 Mar, 2016, 02:37: PM
answered-by-expert Expert Answer
begin mathsize 16px style L e t space t h e space t o t a l space n u m b e r space o f space b u l l e t s space b e space x. R a d i u s space o f space a space s p h e r i c a l space b u l l e t equals 6 over 2 equals 3 m N o w comma space v o l u m e space o f space a space s p h e r i c a l space b u l l e t equals 4 over 3 πr cubed equals 4 over 3 cross times 22 over 7 cross times 3 cross times 3 cross times 3 equals 792 over 7 space cm cubed rightwards double arrow volume space of space straight x space spherical space bullets equals 792 over 7 straight x space cm cubed Volume space of space cube equals left parenthesis 40 right parenthesis cubed Clearly comma volume space of space straight x space spherical space bullets equals volume space of space cube rightwards double arrow 792 over 7 straight x equals left parenthesis 40 right parenthesis cubed rightwards double arrow straight x equals fraction numerator 40 cross times 40 cross times 40 cross times 7 over denominator 792 end fraction equals 448000 over 792 equals 565.65 almost equal to 565 end style
Answered by Rashmi Khot | 09 Mar, 2016, 04:30: PM

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