A hemispherical dome with radius 50 feet will be given a
coat of paint 0.01 inch thick. The contractor for the job
wants to estimate the number of gallons of paint that will
be needed. Use differentials to obtain an estimate (there
are 231 cubic inches in a gallon). HINT:Approximate the
change in the volume of the hemisphere corresponding to
an increase of 0.01 inch in the radius.

Question

A hemispherical dome with radius 50 feet will be given a
coat of paint 0.01 inch thick. The contractor for the job
wants to estimate the number of gallons of paint that will
be needed. Use differentials to obtain an estimate (there
are 231 cubic inches in a gallon). HINT:Approximate the
change in the volume of the hemisphere corresponding to
an increase of 0.01 inch in the radius.

fellowroot · Answer

Is the paint going to be applied to all sides of the dome or only the top part? This needs to be stated. Typically on a building you only paint the outside.

fellowroot · Answer

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