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## Homework Statement

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.100000 cm thick to a hemispherical dome with a diameter of 45.000 meters.

## Homework Equations

[tex]Surface Area of sphere=4\pi(r^2)[/tex]

Since it is hemipshereical, the surface area will be half

[tex]Surface Area of hemispherical dome=2\pi(r^2)[/tex]

[tex]dSA=4\pi(r)dr[/tex]

## The Attempt at a Solution

I converted 45m into 4500cm for the radius. I set dr=.1cm

and the radius to 4500cm.

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