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A sphere has mass of (20+-0.4)kg and rad...

A sphere has mass of `(20+-0.4)kg` and radius of `(10+-0.1)` m. Find the maximum percentage error in the measurement of density.

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Density `(p)=("Mass")/("Volume") therefore p=(M)/(4//3piR^(3))therefore(Deltap)/(p)xx100=(DeltaM)/(M)xx100+3(DeltaR)/(R)xx100`
`rArr "maximum error" =(0.4)/(20)xx100+3xx(0.1)/(10xx100)=2%+3%=5%`
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