Lateral Area: About 52.8 square inches Surface Area: About 65.1 square inches
A circular pillar candle can be modeled by the following cylinder.
The height of the cylinder is h= 6 inches. Since the diameter of the base is 2.8 inches, the radius of the cylinder is r= 2.82= 1.4 inches. We are asked to find lateral and surface areas of the candle. Let's do it!
Area
Lateral
Surface
Radius
r= 1.4
Height
h= 6
Formula
L=2π r h
S=2π r h+2π r^2
L=2π( 1.4)( 6)=16.8π
S=2π( 1.4)( 6)+2π( 1.4)^2=20.72π
L≈ 52.8
S≈ 65.1
Therefore, the lateral area is about 52.8 square inches, and the surface area is about 65.1 square inches.
