# Thread: Another linear aproximation problem

1. ## Another linear aproximation problem

Hopefully, after this problem I can solve most of the linear aproximation problems I will see in class.

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint cm thick to a hemispherical dome with a diameter of meters. _______

any help would be greatly appreciated. Thanks!

2. Originally Posted by xcelxp
Hopefully, after this problem I can solve most of the linear aproximation problems I will see in class.

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint cm thick to a hemispherical dome with a diameter of meters. _______

any help would be greatly appreciated. Thanks!
I'm not sure if linear approximations are the way to go here. we want to use differentials, slightly different thing.

60 m = 6000 cm

so our diameter is 6000cm, so the radius is 3000cm

the amount of paint is talking about the volume. so the radius is 3000 cm and we want a coat of paint 0.02 cm thick, so the error in radius or the change in radius is dr = 3000.02 - 3000 = 0.02