The Percentage emor in the measurement of
radius of a sphere is 2% . Calculate the
percentage error in the measurement of surface area and volume
of the sphere?
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Answer:
Given, Error in a radius of the sphere is 2%
it meansΔr=2%
Now, the surface area of the sphere is
A=4πr2
AΔA=r2Δr
AΔA=10002×2=0.04
A×100ΔA=0.04×100= 4%
it means % error in surface area of its measurements is 4%
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