The length of diameter of a solid sphere of lead si 14 cm .if the sphere is melted, then calculate how many sphers with length of 3.5 cm radius can be made ?

Explanation

The radius of the large solid sphere`=(14)/(2)` cm=7 cm
` therefore` volume of it `(4)/(3)pi xx7^(3)c c`
The radius of each samller sphere `=.5 m` `:.` volume of each of it `=(4)/(3) pi xx (3.5)^(3)c c`
Let the number of smaller spheres which can be made is x.
`:.` the volume of x smaller sphere `x xx(4)/(3) pi xx (3.5)^(3) c c `
As per condition, `x xx (4)/(3) pi xx (3.5) =(4)/(3) pi xx 7^(3) rArr x =( 7 xx 7 xx 7)/( 3.5 xx 3.5xx 3.5) rArr x=8`
Hence the required number of smaller sphere 8