- #1

Micah2

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Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 46 m. (Round your answer to two decimal places.)

First I list what I am given:

Diameter: 46m

DR: 0.0003m (converted from the 0.03cm that was given)

DV: ?

Volume of a Sphere = 4/3 pi r^3

But volume of a half a Sphere = 2/3 pi r^3

And Radius = Diameter/2

So...dv = 2 pi (23m)^2 (0.0003m)

Using a Calculator I am given 0.3174. The question asks to round it to two decimal places, which would be 0.32.

All homework is done online but apparently this answer is still incorrect. I appreciate all and any help to sort this out. :(