Question

The error in measurement of radius of a sphere is 1%. What is the error in the measurement of volume?

Answer 1

Hii dear,

# Answer- 3%

# Explaination-
# Given-
Percentage error in measurement of radius Δr/r=1%

# Solution-
Volume of sphere is given by,
V = 4/3 πr^3

Hence, percentage error in volume of sphere will be
ΔV/V = 3Δr/r
ΔV/V = 3 × 1%
ΔV/V = 3%

Percentage error in volume of sphere will be 3%.

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