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The actual radius and height of a cylindrical vessel is 2.14 cm and 10.15 cm respectively. But they were expressed nearly to two significant places. What percentage error occurs while computing the volume of the cylinder? Use π = 22/7.1). 4.875%2). 5.126%3). 5.4%4). 5.642% |
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Answer» ACTUAL VOLUME of CYLINDER = πr2h = 22/7 × 2.14 × 2.14 × 10.15 = 146.089 cm3 Computed volume of cylinder = πr2h = 22/7 × 2.1 × 2.1 × 10 = 138.6 cm3 Error in volume = 146.089 – 138.6 = 7.489 cm3 ∴ REQUIRED percentage = (7.489/146.089) × 100 = 5.126% |
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