Question

If the radius of a tumour is increasing at a rate of 0.13cm per month, find the rate of change of the volume. R=0.54cm

Answer 1

i know that\[V=4/3\pi r^3\]

Answer 2

the rate of change of volume is surface area

Answer 3

V' = 4pi r^2 r'

Answer 4

since the rate of change of the radius with respect to the radius is 1 ...

V' = 4pi r^2 ; which is the formula for surface area

Answer 5

ugh, r' is with repect to time tho so lets leave it in

Answer 6

::: rolls eyes::: :)

Answer 7

ok thank you!

Answer 8

V=4pi (0.54)^2 (0.13)