# Homework Help Calculus

posted by
**Molly**
.

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 1/100cm thick to a hemispherical dome with a radius of 18 meters.

I tried it but I keep getting the wrong answer.Here's what I did below:

sphere:

V = ⁴/₃πr³

A = 4πr²

radius = 18m

0.01cm = 0.0001m

A = 4π(18)² 4071.504079= m²

Volume = 4071.504079m² x 0.0001m = .40715m³ or 40715cm³