Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm thick to a hemispherical dome with a of diameter 52 m

Answer 1

Volume of a hemisphere, V = (2/3)πr³

r = 52/2 = 26 m

dr = 0.04 cm = 0.0004 m

dV≈2πr²dr = 2π(26)²(0.0004) m³