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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

5. Surface Area of Cones

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Exercise 33 Page 638

Use the formula for the surface area of a cylinder.

$1583.4 ft^{2}$

Practice makes perfect

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 = 2 π r h + 2 π 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 = 2 π r h + 2 π r^{2}

$r = 12$ , $h = 9$

S = 2 π (12) (9) + 2 π (12)^{2}

▼

Evaluate right-hand side

Calculate power

S = 2 π (12) (9) + 2 π (144)

Multiply

S = 216 π + 288 π

Add terms

S = 504 π

Use a calculator

S = 1583.362697 \dots

Round to $1$ decimal place(s)

S \approx 1583.4

The surface area of the cylinder is about

1583.4

square feet.

Subchapter links

Guided Practice p.634

Independent Practice p.635-636

H.O.T. Problems p.636

Extra Practice p.637

Standardized Test Practice p.638

Common Core Review p.638