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In Physics / High School | 2014-07-27

The radius of the sphere is \((4.3 \pm 0.1)\) cm. What is the percentage error in the volume?

Asked by Collingsworth445

Answer (2)

The maximum error in its radius is (0.1) / (4.3) .
We know that volume is proportional to (radius)³, so the error in volume is proportional to (error in radius)³ .
[ 1 + 0.1/4.3 ]³ = 1.0714
The max volume error is 7.14 %

Answered by AL2006 | 2024-06-10

The percentage error in the volume of a sphere with a radius of 4.3 ± 0.1 cm is approximately 6.99% . This is calculated by taking the error in radius and applying it to the volume formula. Since volume scales with the cube of the radius, the error is tripled.
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Answered by AL2006 | 2024-12-24

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