Does groundwater flow or stay still?
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To solve this problem we will apply the geometric concepts of the Volume based on the consideration made of the radius measurement. The Volume must be written in differential terms of the radius and from the formula of the margin of error the respective response will be obtained.
The error in radius of sphere is not exceeding 2%
The objective is to find the percentage error in the volume.
The volume can be defined as
Differentiate with respect the radius we have,
The percentage change in the volume is as follows
Therefore the percentage change in volume is