Question 1205009
.
A wax candle is 16cm long and 1½cm in diameter, it is melted and made into 4 identical candles 
each of which is 9cm long. What is the diameter of these candles?
~~~~~~~~~~~~~~~~~~~~~~



        The shorter the solution, the clearer its meaning is.



<pre>
Equate the volumes

    {{{pi*r^2*h}}} = {{{4*pi*R^2*H}}}


Cancel  {{{pi}}}  in both sides and substitute the given data

    {{{(1.5/2)^2*16}}} = {{{4*R^2*9}}}

    {{{2.25/4}}}*16 = {{{4*R^2*9}}}

    9 = {{{36R^2}}}

    {{{R^2}}} = {{{9/36}}} = {{{1/4}}}

    R = {{{sqrt(1/4)}}} = {{{1/2}}}.


<U>ANSWER</U>.  The diameter of the produced candles is {{{2*(1/2)}}} = 1 cm each.
</pre>

Solved.


-------------------


Thanks to tutor @MathTherapy for noticing my error.


After his notice, I fixed my post, and now you see the updated / (correct) version.