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A copper sphere has a mass of (112.25 ± 0.01) g and its radius of (2.50 ±0.02) cm. Find the uncertainty in density. ( Note: the volume of the sphere is V = 4/3 π r3)



Answer :

pstnonsonjoku

The uncertainty in the density is 1.71 g/cm^3 (±0.03)

What is the density?

The density of a body is the ratio of the mass to the volume of the copper sphere. We have been given the mass of the copper sphere and its volume thus we can now find the density of the sphere.

Mass = 112.25 g

Volume = 4/3 π r^3 =  4/3 * 3.142 * (2.50)^3 = 65.5cm^3

Density = 112.25 g/65.5cm^3 = 1.71 g/cm^3

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