Question

???

Answer 1

by linear approximation, do you mean \(V = \frac{4}{3} \pi r^3\), \(\Delta V = \frac{dV}{dr}\Delta r\) ?

Answer 2

Would I derive the first one?

Answer 3

yes differentiate (4/3) pi r^3 which is the formula for the volume of the sphere

Answer 4

4pir^2

Answer 5

correct

Answer 6

And then what

Answer 7

then this

https://gyazo.com/286b458598def9d5b57be9a7393d584f

Answer 8

you know the value of r and delta r - Just plug them in and calculate

Answer 9

36pi

Answer 10

?????

Answer 11

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

Answer 12

36pi is correct for the value of 4 pi r^2 now you plug is the +/- 0.01

Answer 13

* plug in

Answer 14

.36

Answer 15

no

Answer 16

.036