anonymous
  • anonymous
???
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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IrishBoy123
  • IrishBoy123
by linear approximation, do you mean \(V = \frac{4}{3} \pi r^3\), \(\Delta V = \frac{dV}{dr}\Delta r\) ?
anonymous
  • anonymous
Would I derive the first one?
welshfella
  • welshfella
yes differentiate (4/3) pi r^3 which is the formula for the volume of the sphere

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anonymous
  • anonymous
4pir^2
welshfella
  • welshfella
correct
anonymous
  • anonymous
And then what
IrishBoy123
  • IrishBoy123
then this https://gyazo.com/286b458598def9d5b57be9a7393d584f
welshfella
  • welshfella
you know the value of r and delta r - Just plug them in and calculate
anonymous
  • anonymous
36pi
anonymous
  • anonymous
?????
IrishBoy123
  • IrishBoy123
correct to within 0.01 inch in maths speak is: \(\Delta r = \pm 0.01\) you got \(\frac{dV}{dr} = 4 \pi r^2\) yourself, so finish the job
welshfella
  • welshfella
36pi is correct for the value of 4 pi r^2 now you plug is the +/- 0.01
welshfella
  • welshfella
* plug in
anonymous
  • anonymous
.36
welshfella
  • welshfella
no
anonymous
  • anonymous
.036

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