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Struggling
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hi didnt know wether to put this in phyics or maths but I am studying for physics so ill put it here.
Q: What is the percent uncertainty in the volume of a spherical beach ball whos radius is r = 2.86 +or-0.08m?
A: V= 4/3 pie r^3
V = 4/3 pie(2.94)^3 = 106.4463
V = 4/3 pie(2.86)^3 = 97.9911
106.4463-97.9911 = 8.4552
8.4552/97.991 x 100 = 8.6285%
shouldnt 8.6285% be the answer? the book has 9% which i understand could be rounded but considering I am doing the scientific notation chapter and it talks about how important it is to be clear with your answer.
i also tried the equation using only 3 significant numbers but i turned out further away from the answer getting something like 8.1%.
have i done something wrong in my calculations? this question really is simple but i can't think of any other way.
thanks
Q: What is the percent uncertainty in the volume of a spherical beach ball whos radius is r = 2.86 +or-0.08m?
A: V= 4/3 pie r^3
V = 4/3 pie(2.94)^3 = 106.4463
V = 4/3 pie(2.86)^3 = 97.9911
106.4463-97.9911 = 8.4552
8.4552/97.991 x 100 = 8.6285%
shouldnt 8.6285% be the answer? the book has 9% which i understand could be rounded but considering I am doing the scientific notation chapter and it talks about how important it is to be clear with your answer.
i also tried the equation using only 3 significant numbers but i turned out further away from the answer getting something like 8.1%.
have i done something wrong in my calculations? this question really is simple but i can't think of any other way.
thanks