The mass and density of a solid sphere are measured to be $$(12.4$$±$$0.1)kg$$ and $$(4.6$$±$$0.2)kg/m3$$. Calculate the volume of the sphere with error limits.

Correct option is 3(2.7±0.14)m3

Questions

The mass and density of a solid sphere are measured to be $(12.4 \pm 0.1) kg$ and $(4.6 \pm 0.2) kg / m^{3}$ . Calculate the volume of the sphere with error limits.

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(2.7±0.10)m3

(2.7±0.1)m3

(2.7±0.14)m3

(7.2±0.14)m3

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detailed solution

Correct option is C

Here, m±Δm=(12.4±0.1)kgρ±Δρ=(4.6±0.2)kg/m3Volume, V=mρ=12.44.6=2.69 m3=2.7 m3 (rounding off to one decimal place)ΔVV=±Δmm+ΔρρΔV=±Δmm+Δρρ×V=±0.112.4+0.24.6×2.7=±0.14V±ΔV=(2.7±0.14)m3

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The mass and density of a solid sphere are measured to be (12.4±0.1)kg and (4.6±0.2)kg/m3. Calculate the volume of the sphere with error limits.

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The mass and density of a solid sphere are measured to be $(12.4 \pm 0.1) kg$ and $(4.6 \pm 0.2) kg / m^{3}$ . Calculate the volume of the sphere with error limits.