- #1

josesalazmat

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I have tried to resolve the problem below

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.040000 cm thick to a hemispherical dome with a diameter of 45.000 meters.

My procedure was:

the volume of the sphere is \(\displaystyle V=4/3 pi r^3\) but this is a hemispherical dome, so the formula should be \(\displaystyle V=2/3pir^3\)

I derived it, so

\(\displaystyle dv=2pir^2 * dr\)

dr is 0.04000 cm

the radius is 22.5

Then, the result should be 127.17 cm ^3 but this result is showed as wrong

I don't know where I am making the mistake

I will appreciate any advice

Thanks