# Linear Approximations with a hemispherical dome

## Homework Statement

Use linear approximations to estimate the amount of paint needed to apply a
coat of pain .05cm thick to a hemispherical dome with diameter 50m.

## Homework Equations

V=2/3*$\pi$*r$^{3}$

## The Attempt at a Solution

I'm really not at all sure how to go about this. The only thing I somewhat understand is that it's necessary to subtract the difference in volume to obtain just the volume of the shell itself.

If someone could walk me through this one, that'd be great.

Thanks!

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