Question

Rates of Change question help..will give medal and fan. **Question attached below**

Answer 1

\(\large \frac{dV}{dt} = 2\times 10^3\)


\(\large \frac{dr}{dt}\Big|_{r=10} = ?\)

Answer 2

remember the Volume of sphere formula ?

Answer 3

Yes. V = 4/3 * pi * r^3

Answer 4

yes, differentiate both sides with.respect.to t

Answer 5

wat do u get ?

Answer 6

dV/dt = 4*pi*r^2 dr/dt

Answer 7

good, simply plugin dV/dt and r values and solve dr/dt

Answer 8

I ended up with 5 pi

Answer 9

try again, you should get \(\large \frac{5}{\pi}\)

Answer 10

Oh yes..I made a mistake. Thank you! I got it :)

Answer 11

u wlc :)