Exercise 32 Page 638

We want to calculate the surface area of a cylinder with a diameter of 10meters and a height of 24meters. To do that, we can use the following formula. S=2π rh+2π r^2In this formula, r is the radius of the base and h is the height of the cylinder. Since we know that the diameter d equals 10meters, we can calculate r by dividing the diameter by 2. r=10/2 ⇒ r= 5m By substituting r with 5 and h with 24 into the formula we can find the value of S. Let's do it!

S=2π rh+2π r^2

SubstituteII

r= 5, h= 24

S=2π( 5)( 24)+2π( 5)^2

▼

Evaluate right-hand side

CalcPow

Calculate power

S=2π( 5)(24)+2π(25)

Multiply

Multiply

S=240π+50π

AddTerms

Add terms

S=290π

UseCalc

Use a calculator

S=911.061869...

RoundDec

Round to 1 decimal place(s)

S≈ 911.1

The surface area of the cylinder is about 911.1 square meters.