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EXAMPLE 3

Standardized Test Practice. EXAMPLE 3. SOLUTION. To find the slant height l of the right cone, use the Pythagorean Theorem. l 2 = h 2 + r 2. Write formula. l 2 = 8 2 + 6 2. Substitute. l = 10. Find positive square root. ANSWER. The correct answer is B.

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EXAMPLE 3

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  1. Standardized Test Practice EXAMPLE 3 SOLUTION To find the slant height l of the right cone, use the Pythagorean Theorem. l2 = h2+ r 2 Write formula. l2 = 82 + 62 Substitute. l = 10 Find positive square root.

  2. ANSWER The correct answer is B. Standardized Test Practice EXAMPLE 3 Use the formula for the surface area of a right cone. S = πr2 + πrl Formula for surface area of a right cone = π(62) + π(6)(10) Substitute. = 96π Simplify.

  3. The traffic cone can be approximated by a right cone with radius 5.7 inches and height 18inches. Find the approximate lateral area of the traffic cone. Find the lateral area of a cone EXAMPLE 4 TRAFFIC CONE SOLUTION To find the slant height l,use the Pythagorean Theorem. l2 = 182 + (5.7)2, sol≈ 18.9 inches.

  4. ANSWER The lateral area of the traffic cone is about 338.4 square inches. Find the lateral area of a cone EXAMPLE 4 Find the lateral area. Lateral area = πrl Write formula. = π(5.7)(18.9) Substitute known values. ≈ 338.4 Simplify and use a calculator.

  5. 3. Find the lateral area of the right cone shown. for Examples 3 and 4 GUIDED PRACTICE SOLUTION To find the slant height l use the Pythagorean theoreml2 = 202 = 152 ,sol = 25yd Find the lateral area

  6. ANSWER The lateral area of the right cone is1178yd2 for Examples 3 and 4 GUIDED PRACTICE Lateral area = πrl Write formula. = π(15)(25) Substitute known values. ≈ 1178 Simplify and use a calculator.

  7. ANSWER The surface area of the right cone is1885yd2 for Examples 3 and 4 GUIDED PRACTICE 4. Find the surface area of the right cone shown. SOLUTION S = πr2 + πrl Formula for surface area of a right cone = π(15)+ π(15)(25) Substitute. = 1885 Simplify.

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