Estimate amount of paint needed to apply coat of paint .07 cm thick to hemispherical dome with diameter of 80m?

Use differentials to estimate the amount of paint in cubic centimeters needed to apply a coat of paint .07 cm thick to a hemispherical dome with a diameter of 80 meters





Im stumped!! Help!!Estimate amount of paint needed to apply coat of paint .07 cm thick to hemispherical dome with diameter of 80m?
you don't need differentials, it's just arithmetic





Area of a hemisphere is


A = 2蟺r虏 = 2蟺(40)虏 = 2513 m虏


multiply by thickness of 0.0007m to get 1.759 m鲁


multiply by 1000000 to get cm鲁 or 1759000 cm鲁





.Estimate amount of paint needed to apply coat of paint .07 cm thick to hemispherical dome with diameter of 80m?
S=4pir^2 s=surface area of sphere, r=diameter


dS=8pirdr





dS is increment increase dr=.07, r=80 meters





find S and half of it find dS and take half of it. add and multiply by .07.