Question 1205074
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Part 1


Diameter = 1/8
Radius = 1/16 which is half the diameter


Volume = (4/3)*pi*(radius)^3
Volume = (4/3)*pi*(1/16)^3
Volume = 0.0010226538586
I kept the fraction 4/3 and I let the calculator handle the decimal digits of pi, so I could get the most accuracy possible.
Round that decimal value however needed.


It appears you forgot a zero in your result of .01021



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Part 2


n = number of spheres
0.0010226538586 = volume of 1 sphere
0.0010226538586n = volume of n spheres = amount of material
0.0010226538586n = 1
n = 1/0.0010226538586
n = 977.847970347451
n = 977


We can make about 977 spheres.


Your answer is off by a factor of 10 because you forgot a zero in your previous result.
Your previous result should be smaller by a factor of 10, making the second result larger by a factor of 10 (to counter-balance).


In cases like this, always <font color=red>round down</font> to the nearest whole number. It doesn't matter that n = 977.84797 is closer to 978 compared to 977.
We do not have enough material to make the 978<sup>th</sup> sphere.


If you made 977 spheres, then you use up 
0.0010226538586*977 = 0.9991328198522 cubic inches of material


But if you made 978 spheres, then you use up
0.0010226538586*978 = 1.0001554737108 cubic inches
Which is over the target of "1 cubic inch".
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