Answer:
1) The slant height = 9.8 cm ⇒ (C)
2) The slant height = 11.4 cm ⇒ (D)
Step-by-step explanation:
1) ∵ The slant height of the cone = √[(radius)² + (height)²]
∵ Diameter = 8 cm
∴ Radius = 4 cm
∵ Height = 9 cm
∴ Slant height = √(4² + 9²) = √97 = 9.8 cm ⇒ (C)
2) ∵ The slant height of the cone = √[(radius)² + (height)²]
∵ Diameter = 18 cm
∴ Radius = 9 cm
∵ Height = 7 cm
∴ Slant height = √(9² + 7²) = √130 = 11.4 cm ⇒ (D)