Question 264316
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A sphere and a cube have the same volume. What is the ratio of the diameter of the sphere to the edge length 
of the cube ? Express answer as a decimal to the nearest hundredth.
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        The post by @mananth does not have an answer to the problem's question: it does not provide the ratio D/L.

        Also, the given calculations are not accurate.

        So, I came to give a complete and accurate solution and the answer.



{{{VOL[sphere]}}} = {{{(4/3)*pi*(1/2*D)^3}}}


{{{VOL [cube]}}} =  L^3


We equate the volumes  {{{VOL[sphere]}}} = {{{VOL[cube]}}}


           {{{(4/3)*pi*(1/2*D)^3}}} = {{{L^3}}}


From this equality, we get 


            {{{D^3/L^3}}} = {{{(3*7*8)/(22*4)}}} = 1.909090909...


From here


            {{{D/L}}} = {{{root(3,1.909090909)}}} = 1.240534566...


Now I round this decimal, &nbsp;and I get  &nbsp;{{{D/L}}} = 1.24.  &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>
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Solved.


Looking at many posts by @mananth, I see that this person is unfamiliar 
with the notion and the conception of accurate calculations.