SOLUTION: The altitude of a certain circular cone is the same as the radius if the base is measured as 12 cm with a possible error of 0.04 cm. Find the approximate percentage error in th

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Question 1082949: The altitude of a certain circular cone is the same as the radius
if the base is measured as 12 cm with a possible error of 0.04 cm.
Find the approximate percentage error in the calculated value of
the volume.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
The formula for the volume of a cone is



Since the altitude is the same as the radius, we
substitute h=r











Substitute the possible error in the base for dr,
and 12 for r:



  <-- approximate error in the volume.

To find the approximate percentage error, we find what the
actual volume should be:





We find what percent 5.76 cubic centimeters is of that,
we calculate 

Edwin
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