The density of a sphere is measured by measuring its mass and diameter. If, it is known that the maximum percentage errors in the measurement of mass and diameter are 2% and 3% respectively, then find the maximum percentage error in the measurement of density.
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The correct answer is 11 %.
Explanation:
- The formula of density is made up of mass and volume of the given object.
- Density is represented by p.
- In the case of a sphere, this volume is replaced by diameter.
- The given values of mass and diameter in the question are 2% and 3%. Using these values one can find out the density.
- This density is later converted into a percentage.
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