Question

Use differentials to estimate the ammount of pain needed to cover a hemispherical dome with a diamater of 50m and a coat of paint .05cm thick.

Answer 1

\[A=2pir^2\]

Answer 2

dy=f'(x)dx

Answer 3

dx=.05

Answer 4

r=25

Answer 5

this is where im stuck

Answer 6

f'(x)=4(pi)(r)(dr)

Answer 7

.05 cm = .0005m

Answer 8

do i need volume as well?