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 25 Page 637

354.1 ft^2

Practice makes perfect

The given solid is a cone with a radius of 5.1 feet and a slant height of 17 feet. 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 We can now substitute 5.1 for r and 17 for l into the formula to calculate the value of S.

S=Ï€ rl+Ï€ r^2
S=Ï€( 5.1)( 17)+Ï€( 5.1)^2
â–¼
Evaluate right-hand side
S=Ï€(5.1)(17)+Ï€(26.01)
S=86.7Ï€+26.01Ï€
S=112.71Ï€
S=354.088907...
S≈ 354.1

The surface area of the cone is approximately 354.1 square feet.