Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm thick to a hemispherical dome with a of diameter 52 m

The amount of paint is the volume of paint needed.

The amount of paint needed is 0.065312 cubic meters

The volume of a hemisphere is:

Differentiate the above equation

The above equation represents the estimate of the amount of paint needed.

Where:

So, we have:

Express cm as m

Hence, the amount of paint needed is 0.065312 cubic meters

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step-by-step explanation:

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