Correct Answer: Option D
Explanation:
Volume of sphere V = (4/3)πr³. For error propagation, percentage error in V = 3 × (percentage error in r). Given error in r is 2%, so error in V = 3 × 2% = 6%. This follows the power rule: if Q = xⁿ, then % error in Q = |n| × % error in x. This principle is crucial for experimental error analysis. Exam tip: Remember that volume depends on cube of radius, so errors amplify threefold. This type of question tests understanding of error propagation in derived quantities.
This question belongs to:
Science
Physics
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