How many spherical lead shot of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm
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Answered by
124
Sphere:
r=2cm
Cube:
a=44cm
Number of lead shots · Volume of lead shot=Volume of cube
n · (4/3)πr^3=a^3
n=a^3
(4/3)πr^3
n=44·44·44
(4/3)·(22/7)·2·2·2
By dividing and multiplying
n=44·44·44·3·7
4·22·2·2·2
n=2541
Therefore 2541 lead shots can be made.
r=2cm
Cube:
a=44cm
Number of lead shots · Volume of lead shot=Volume of cube
n · (4/3)πr^3=a^3
n=a^3
(4/3)πr^3
n=44·44·44
(4/3)·(22/7)·2·2·2
By dividing and multiplying
n=44·44·44·3·7
4·22·2·2·2
n=2541
Therefore 2541 lead shots can be made.
Answered by
43
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