Exercise 33 Page 638

We want to calculate the surface area of a cylinder with a radius of 12 feet and a height of 9 feet. To do that, we can use the following formula. S=2π rh+2π r^2 In this formula, r is the radius of the base and h is the height of the cylinder. Substituting r with 12 and h with 9 into the formula, we can solve for S. Let's do it!

S=2π rh+2π r^2

SubstituteII

r= 12, h= 9

S=2π( 12)( 9)+2π( 12)^2

▼

Evaluate right-hand side

CalcPow

Calculate power

S=2π( 12)(9)+2π(144)

Multiply

Multiply

S=216π+288π

AddTerms

Add terms

S=504π

UseCalc

Use a calculator

S=1583.362697...

RoundDec

Round to 1 decimal place(s)

S≈ 1583.4

The surface area of the cylinder is about 1583.4 square feet.