SOLUTION: 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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Question 264316: 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. Found 3 solutions by mananth, ikleyn, josgarithmetic:Answer by mananth(16949) (Show Source):
You can put this solution on YOUR website! 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.
vol of sphere = 4/3 *pi*(1/2 *d)^3
vol of cube l^3
4/3 *22/7 * 1/8 *d3
d^3/l^3 =1= 3*7*8 / 22*4
1.92
You can put this solution on YOUR website! .
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.
=
= L^3
We equate the volumes =
=
From this equality, we get
= = 1.909090909...
From here
= = 1.240534566...
Now I round this decimal, and I get = 1.24. ANSWER
Solved.
Looking at many posts by @mananth, I see that this person is unfamiliar
with the notion and the conception of accurate calculations.
(