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\[Error=\pi r^2(h+0.2) - \pi r^2(h-0.2)\]

oh another of those sneaky questions...

indeed

Thisis prolly what it's asking the volume different between this|dw:1438420033333:dw|

yes it wants the difference between the volume when r = 4.2 and volume when r = 4

pi*4.2^2*12 - pi*4^2*12 = 665 - 603.2

\(V = \pi \ r^2 \ h\)
\(dV = 2 \pi r \ dr \ h\)
\(dr = ±0.2\)

oh I see
then that will give +/- 60.32 cu ins

good result

i fell asleep, sorry. but thank you for your help

**perhaps it is better to say
\[ \Delta V \approx 2 \pi r h\ \Delta r \]