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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

4. Surface Area of Cylinders

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Exercise 4 Page 622

Use the formula for the surface area of a cylinder.

1960.4 cm^2

Practice makes perfect

We are given a cylinder and want to find its surface area.

To calculate the surface area of a cylinder, we can use the following formula. S=2π rh+2π r^2 In this formula, r is the radius and h is the height of the cylinder. From the diagram above we can see that the diameter of the base is 24 cm. Recall that the diameter of a circle is twice the length of the radius. With this in mind, we can find the length of the radius by substituting d=24 into the formula below.

d=2r

d= 24

24=2r

.LHS /2.=.RHS /2.

24/2=2r/2

a/b=.a /2./.b /2.

12/1=r/1

a/1=a

12=r

Rearrange equation

r=12

Finally, by substituting r with 12 and h with 14 into the formula for the surface area, we can solve for S. Let's do it!

S=2π rh+2π r^2

r= 12, h= 14

S=2π( 12)( 14)+2π( 12)^2

▼

Simplify right-hand side

Calculate power

S=2π( 12)(14)+2π(144)

Multiply

S=336π+288π

Add terms

S=624π

Use a calculator

S=1960.353815...

Round to 1 decimal place(s)

S≈ 1960.4

The surface area of the cylinder is about 1960.4 cm^2.

Subchapter links

Guided Practice p.622

Independent Practice p.623

H.O.T. Problems p.624

Standardized Test Practice p.624-626

Extra Practice p.625

Common Core Review p.626