how many balls each of radius 2 cm can be made from a solid sphere of lead of radius 8 cm
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Answered by
7
hi,
let no of balls be n, then
n(vol of balls)=vol of sphere
n(4/3 pi*r*r*r)=4/3pi*R*R*R
n(2*2*2)=8*8*8
8n=512
n=64
so 8 balls can be made out
plzzzzzzzzzzzzz mark it as the brainliest
let no of balls be n, then
n(vol of balls)=vol of sphere
n(4/3 pi*r*r*r)=4/3pi*R*R*R
n(2*2*2)=8*8*8
8n=512
n=64
so 8 balls can be made out
plzzzzzzzzzzzzz mark it as the brainliest
Anonymous:
ok i edited
Answered by
6
acc to problem
volume of sphere of radius 8cm(v1) = n × volume of sphere of radius 2cm(v2)
n = v1/v2
now v1 = 4πr1³/3
= 4×8³×π/3
now v2 = 4πr2³/3
= 4×2³×π/3
now n = v1/v2
= (4×8³×π/3)/(4×2³×π/3)
= 8³/2³
= 8²
n = 64
so we can make 64 balls of 2cm radius from given sphere
volume of sphere of radius 8cm(v1) = n × volume of sphere of radius 2cm(v2)
n = v1/v2
now v1 = 4πr1³/3
= 4×8³×π/3
now v2 = 4πr2³/3
= 4×2³×π/3
now n = v1/v2
= (4×8³×π/3)/(4×2³×π/3)
= 8³/2³
= 8²
n = 64
so we can make 64 balls of 2cm radius from given sphere
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