Question

2.2 cubic decimeter of brass is to be drawn into the cylinder wire of diameter 0.50 cm find the length of the wire

Answer 1

Answer:

Given: Volume of brass is 2.2 cubic decimeter.

Step-by-step explanation:

Step 1

First we will convert volume of brass from cubic decimeter to cubic centimeter.

Since 1 cubic decimeter = 1000 cubic centimeter

So 2.2 cubic decimeter = 2.2*1000 cubic centimeter.

Now volume of brass to be drawn is 2200  cubic centimeter.

Step 2

Now we need to find the volume of 0.50 cm cylinder.

As we know volume of cylinder is $\pi (\frac{d}{2})^2.h$

Where 'd' is the diameter of cylinder.

And 'h' is the height of cylinder.

Volume of cylinder = $3.14 (\frac{50}{2})^2.h$

                                = $3.14* 25^2.h$

                                = $3.14*625*h$

                                = $1962.5*(h)$ cubic centimeter

Step 3

Now, we will equate the volume of brass and volume of cylinder in order to find the height (length) of the wire.

                                  2200  = 1962.5 (h)

Divide both side by 1962.5

                                  $\frac{2200}{1962.5}   =  \frac{1962.5* (h)}{1962.5}$

                                  1.121 = h

So our length of wire would be 1.121 cm.

Answer 2

Answer:

Volume of brass = 2.2 dm³ = 2.2×10×10 cm³. = 2200 cm³

radius = 0.25cm and height be h ..

volume of cylinder =πr²h

$2200 = \frac{22}{7} \times {0.25}^{2} \times h$

$h \: = 11200cm \\ or \\ 112m$