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what is the percentage error in the volume of a sphere when the error in the radius of the sphere is 2% |
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Answer» ion : Given :▪ Percentage error in the RADIUS of sphere is 2%To FIND :▪ Percentage error in the VOLUME of sphere.Formula :→ Formula of volume of the sphere :☞ V = (4/3)π R^3→ Formula of percentage error :☞ %(ΔV/V) = 3(ΔR/R) × 100Calculation :→ %(ΔV/V) = 3(ΔR/R) × 100→ %(ΔV/V) = 3(2%)→ %(ΔV/V) = 6% |
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