The length of a wire is 4cm+_ 0.04cm, radius is 1cm +_ 0.01 cm . Find the volume
Answers
Explanation:
Area = πr² = 3.14 x 10⁻⁴
Length = 4 x 10⁻⁴
Volume = Area x Length
= 12.56 cm³
Δv/v = 2Δr/r + Δl/l
= 2 x 0.01/1 + 0.04/4
=0.03 x v
Δv = 0.38
Thus volume is written as 12.56 cm³ ± 0.38
Hope you understand
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Answer:
88/8±0.38
Explanation:
l = 4±0.04 cm
r = 1±0.01 cm
volume of cylinder = πr²h
= 22/7 × (1) ²×4
= 22/7×4
= 88/7
we know,
Volume of cylinder = πr²h
where π is a dimensionless constant so, the formula will look something like this
V = r²h
∆V/V = 2∆r/r+∆h/h
∆V/88/7 = 2(0.01) /1 + 0.04/4
7∆V/88 = 0.02 + 0.01
7∆V/88 = 0.03
7∆V = 2.74
∆V = 2.64/7
:• ∆V = 0.38
x±∆x
=> 88/7±0.38