Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.09 cm thick to a hemispherical dome with a diameter of 80 meters. cubic centimeters

Question

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.09 cm thick to a hemispherical dome with a diameter of 80 meters.

  cubic centimeters

Answer 1

Surface area of a sphere is 4πr²

Here is a hemisphere. Area is 2πr², or 2π(400 cm)²

The volume of the paint is (0.09)(2)(π)(400²) cm³