The radius of a sphere is measured to be (2.1±0.5)cm. Calculate its surface area with absolute error limits.

surface area of sphereA=4πr2a=4×3.14×(2.1)2=55.4 cm2 A=4πr2 A=4×3.14×(2.1)2=55.4 cm2\\AΔA=2×rΔr ΔA=2×rΔr×A=2×2.10.5×55.4=26.4 cm2 Surface area =(55.4±26.4)cm2

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The radius of a sphere is measured to be (2.1 0.5) {cm}. Calc

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The radius of a sphere is measured to be $(2.1 \pm 0.5) cm$ . Calculate its surface area with absolute error limits.

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Updated on: Oct 3, 2023

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surface area of sphere

A = 4 π r^{2} a = 4 \times 3.14 \times (2.1)^{2} = 55.4 cm^{2}

A = 4 π r^{2} A = 4 \times 3.14 \times (2.1)^{2} = 55.4 cm^{2} \\ \frac{Δ A}{A} = 2 \times \frac{Δ r}{r}

Δ A = 2 \times \frac{Δ r}{r} \times A = 2 \times \frac{0.5}{2.1} \times 55.4 = 26.4 cm^{2}

Surface area

= (55.4 \pm 26.4) cm^{2}

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Question Text	The radius of a sphere is measured to be $(2.1 \pm 0.5) cm$ . Calculate its surface area with absolute error limits.
Updated On	Oct 3, 2023
Topic	Units and Measurements
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 4
Upvotes	620
Avg. Video Duration	4 min

The radius of a sphere is measured to be $(2.1 \pm 0.5) cm$ . Calculate its surface area with absolute error limits.

Text solutionVerified

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