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rejz55
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[SOLVED] Please check
Find the volume of a right circular cylinder with a measured length of 2.3±0.1 and radius 0.12±0.05m.
Propagation of uncertainty Multiplication: (a±uncertaitya) (b±uncertaintyb)= ab± ab[(uncertaintya/a) + (uncertaintyb / b)
Power: (a±Uncertaintya)^n = a^n ± na^n-1 (uncertaintya)
radius^2= 0.12^2 ± 2*(.12^1)*0.05
= 0.0144±0.012
=(0.0144)(2.3)(Pi) ± (0.0144) (2.3) (pi) [(0.1/2.3)+(0.0144/0.012)
= .104049 ± .129383
My friend told me her answer is .10430±0.09123..she said she distributed the pi to the uncertainty..
Homework Statement
Find the volume of a right circular cylinder with a measured length of 2.3±0.1 and radius 0.12±0.05m.
Homework Equations
Propagation of uncertainty Multiplication: (a±uncertaitya) (b±uncertaintyb)= ab± ab[(uncertaintya/a) + (uncertaintyb / b)
Power: (a±Uncertaintya)^n = a^n ± na^n-1 (uncertaintya)
The Attempt at a Solution
radius^2= 0.12^2 ± 2*(.12^1)*0.05
= 0.0144±0.012
=(0.0144)(2.3)(Pi) ± (0.0144) (2.3) (pi) [(0.1/2.3)+(0.0144/0.012)
= .104049 ± .129383
My friend told me her answer is .10430±0.09123..she said she distributed the pi to the uncertainty..