Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
5. Surface Area of Cones
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Exercise 6 Page 635

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=Ï€ rl+Ï€ r^2 Looking at the diagram, we know that the radius of the cone's base is 7 meters and that the the slant height of the cone equals 16 meters. By substituting r with 7 and l with 16 into the formula, we can calculate S.

S=Ï€ rl+Ï€ r^2
S=Ï€( 7)( 16)+Ï€( 7)^2
â–¼
Evaluate right-hand side
S=Ï€(7)( 16)+Ï€(49)
S=112Ï€+49Ï€
S=161Ï€
S=505.796417...
S≈ 505.8

The surface area of the cone is approximately 505.8 square meters.