the radius of a sphere is measured with an error 3% What would be the error in surface - Physics - Motion In A Straight Line

Question

the radius of a sphere is measured with an error?3% What would be
the error in surface area of the sphere?

Rohit Babu · Accepted Answer

Dear Student,Let r be the radius of the sphere
Given,Δrr×100=3%The surface area of the sphere is,A=4πr24π is a constant
Hence percntage error in surface area is,ΔAA×100=2×Δrr×100=2×3%=6%Regards

the radius of a sphere is measured with an error?3% . What would be the error in surface area of the sphere?