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### High School Mathematics4.49 Slant Height of a Cone

 Example: The height of a tent is 10 cm. Its base diameter is 48 cm. What is its slant height? Solution: Height of a tent (h) = 10cm. Its base radius (r) = diameter/2 = 48/2 = 24cm. l2 = h2 + r2 l2 = 102 + 242 l2 = 100 + 576 l2 = 676 l = Ö676 l = 26cm. Therefore, the slant height is 26cm. Directions: Solve the following problems. Also write at least 10 examples of your own.
 Q 1: The height of a tent is 3 cm. Its base diameter is 8 cm. What is its slant height?5 cm.4 cm.7 cm.6 cm. Q 2: The height of a tent is 8 cm. Its base diameter is 30 cm. What is its slant height?15 cm.17 cm.16 cm.18 cm. Q 3: The height of a tent is 30 cm. Its base diameter is 32 cm. What is its slant height?34 cm.33 cm.36 cm.35 cm. Q 4: The height of a tent is 60 cm. Its base diameter is 64 cm. What is its slant height?68 cm.64 cm.69 cm.67 cm. Q 5: The height of a tent is 8 cm. Its base diameter is 12 cm. What is its slant height?8 cm.10 cm.12 cm.9 cm. Q 6: The height of a tent is 12 cm. Its base diameter is 32 cm. What is its slant height?20 cm.18 cm.22 cm.19 cm. Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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