Four spheres made of different materials but having the same mass, have a radii of 100 mm, `2xx10^(-2)`m, 30 cm and `10^(-5)`km then arrange them in ascending order of their volumes.

Answer

`V_(4) lt V_(2) lt V_(1) lt V_(3)`

Explanation

Volume of a sphere, `V = (4)/(3) pir^(3)`
`V prop r^(3)`
`r_(1) = 10^(2)` mm = `10^(-1)`m
`r_(2) = 2xx10^(-2) = 2xx10^(-2) m`
`r_(3)=30xx10^(-2)m=3xx10^(-1)m`
`r_(4) = 10^(-5) xx 10^(3) m = 10^(-2)m`
`V_(4) lt V_(2) lt V_(1) lt V_(3)`