Question

2.2 Cubic dm of grass is to be drawn into a cylinder wire 0.25cm in diameter. Find the length of wire?

Answer 1

Given that 2.2dm³ of grass is to be drawn into a cylindrical wire 0.25cmin diameter

Given diameter of cylindrical wire =0.25cm

radius of wire (r) =`d/2=(0.25)/2=0.125cm`

=`0.125xx10^-2m`

We have to find length of wire?

Let length of wire be ‘h’      (∵`1cm=10^-2m`)

Volume of Cylinder `=pir^2h`

Volume of brass of 2.2dm³ is equal to volume of cylindrical wire

`22/7(0.125xx10^-2)h=2.2xx10^-3`

⇒ `h=(2.2xx10^-3xx7)/(22(0.125xx10^-2)^2)`

⇒ `h=448m`

∴Length of cylindrical wire=448m