Exercise 23 Page 818

The largest beverage can is a cylinder with a height of h= 4.67 meters and a diameter of 2.32 meters. This tells us that the radius of the can is r= 2.322= 1.16 meters.

We are asked to find the surface area of the can and round it to the nearest tenth if necessary. Let's use the formula for the surface area of a cylinder.

S=2π r h+2π r^2

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Substitute values and evaluate

SubstituteII

r= 1.16, h= 4.67

S=2π( 1.16)( 4.67)+2π( 1.16)^2

CalcPowProd

Calculate power and product

S=10.8344π+2.6912π

AddTerms

Add terms

S=13.5256π

UseCalc

Use a calculator

S=42.491925...

RoundDec

Round to 1 decimal place(s)

S≈ 42.5

Therefore, the surface area of the can is about 42.5 square meters.