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प्रश्न
How many balls each of radius 1cm can be made from a solid sphere of lead of radius
8cm?
उत्तर
Given that a solid sphere f radius (r1)= 8 cm
With this sphere we have to make spherical balls of radius (r2)=1cm
since we don’t know no of balls let us assume that no of balls formed be ‘n’
We know that
Volume of sphere=`4/3 pir^2`
Volume of solid sphere should be equal to sum of volumes of n spherical balls
`nxx4/3pi(1)^3=4/3pir^3`
`n=(4/3pi(8)^3)/(4/3pi(1)^3)`
n=`8^3`
n=512
∴hence 512 no of balls can be made of radius 1cm from a solid sphere of radius
8cm
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