Estimate the amount of paint in cubic centimeters

Question

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.010000 cm thick to a hemispherical dome with a diameter of 60.000 meters.

Answer 1

surface area of a sphere is 4Πr²

r=3000000 cm

SA=4*Π*9*10¹² => dome is half of a sphere so the area will become 2*Π*9*10¹² cm²

56.55*10¹² cm²

if the coat is 0.01 cm, then the amount of paint needed is 56.55*10¹⁰ cm³

of paint. Is a good amount!!!!!!!!!!!

56.55 m³