Question

Calculate how many marbles with lenghts of 1 cm radius may be formed by melting a solid sphere of iron having 8 cm length of radius.

Answer 1

The radius of solid iron-sphere =8cm
`:.` the volume of the iron-sphere `=(4)/(3)xxpixx8^(3)`cc
The radius of each marble =1 cm
Math (X) -34
`:.` volume of each marble `=(4)/(3)pixx1^(3)`cc
Let x marbles can be made.
`:.` as per condition `x xx(4)/(3)pixx1^(3)=(4)/(3)pi8^(3) rArr x=(8^(3))/(1^(3))=512`
Hence 512 mardition can be made.