Use differential to estimate the amount of paint needed to apply a coat of paint 0.05cm thick to a hemispherical dome with diameter 50cm.
S= 2 pi r^2
ds= 4 pi r dr.
r= 50/2= 25 cm
dr= 0.05cm
So ds= 4 pi 25*0.05= 5 pi cm^2
Use differential to estimate the amount of paint needed to apply a coat of paint 0.05cm thick to a hemispherical dome with diameter 50cm.
S= 2 pi r^2
ds= 4 pi r dr.
r= 50/2= 25 cm
dr= 0.05cm
So ds= 4 pi 25*0.05= 5 pi cm^2