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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 4 Page 635

Use the formula for the surface area of a cone.

2082.9 in.^2

Practice makes perfect

The given solid is a cone.

To calculate the surface area of a cone, we can use the known formula where r is the radius of the base and l is the slant height of the cone. S=π rl+π r^2 Looking at the diagram, we know that the radius of the cone's base is 17 inches and that the the slant height of the cone equals 22 inches. By substituting r with 17 and l with 22 into the formula, we can calculate S.

S=π rl+π r^2

r= 17, l= 22

S=π( 17)( 22)+π( 17)^2

▼

Evaluate right-hand side

Calculate power

S=π(17)( 22)+π(289)

Multiply

S=374π+289π

Add terms

S=663π

Use a calculator

S=2082.875929...

Round to 1 decimal place(s)

S≈ 2082.9

The surface area of the cone is approximately 2082.9 square inches.

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