Use Differentials to Estimate the Amount of Paint Needed to Apply

Multiple Choice

Use differentials to estimate the amount of paint needed to apply a coat of paint $0.0018$ cm thick to a hemispherical dome with diameter $50$ m.

A) $2.25 \pi$
B) $2.28 \pi$
C) $3.82 \pi$
D) $4.11 \pi$
E) $2.52 \pi$