1. ## Derivative/Volume question! =]

Estimate the amount of paint needed to apply a coat of paint .0010M thick to a hemispherical dome with a diamater of 50M.

v=2/3(pi)(r)^3

My work/thoughts:

[ 2/3(pi)(25m+.0010m)^3 ] - [2/3(pi)(25m)^3]

Not sure if im right though... If someone could show me what to do would be great, and hopefully I didnt do something im not supposed to do!

Thanks.

2. Originally Posted by Marker
A painter would like to predict how much paint he will need to paint a domed stadium. Use differentials to estimate the amount of paint needed to apply a coat of paint .0010M thick to a hemispherical dome with a diamater of 50M.

v=2/3(pi)(r)^3My work/thoughts:

[ 2/3(pi)(25m+.0010m)^3 ] - [2/3(pi)(25m)^3]

Not sure if im right though... If someone could show me what to do would be great, and hopefully I didnt do something im not supposed to do!

Thanks.
Well, the problem said "Use differentials to estimate the amount of paint" and you haven't used differentials! dV= (?)dr. and dr= 0.0010 approximately.