Applying a coat of paint 0.07 cm thick to a hemispherical dome with a diameter of 40 meters will require an estimated 1759291.886 cubic centimeters of paint, using a linear approximation.
Given that,
We have to find applying a coat of paint 0.07cm thick to a hemispherical dome with a diameter of 40 meters will require an estimated volume of paint in cubic centimeters, which may be calculated using a linear approximation.
We know that,
Volume of a sphere = 4/3 πr³
Volume of a hemisphere is
V= 2/3 πr³
dV = 2πr² dr
Here,
dr=0.07cm
r=(1/2)×40m=2000cm
Let plug in the formula
dV = 2×π×(2000²)×(0.07)
dV=1759291.886 cubic centimeters
Therefore, Applying a coat of paint 0.07 cm thick to a hemispherical dome with a diameter of 40 meters will require an estimated 1759291.886 cubic centimeters of paint, using a linear approximation.
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