SOLUTION: What is the percentatge error made in the computed surface are of a sphere if the error made in measuring the radius is 3%.

Question 1082951: What is the percentatge error made in the computed surface are of a sphere if the error made in measuring the radius is 3%.

Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It would be (1.03)^3=1.093=9.3%
check with a sphere of radius 2 and 2.06
Volume is pi*2.06^3*(4/3) divided by pi*2^3*(4/3)=8.74/8=1.093 or 9.3%

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

What is the percentatge error made in the computed surface are of a sphere if the error made in measuring the radius is 3%.

If the radius is overstated by 3%, then the percentage error in the computed surface area of the sphere is:
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