MATH SOLVE

3 months ago

Q:
# Calculate the slant height for the given cone.Round to the nearest tenth. Diameter =8cmHeight =9cmA.10.2B.11.4C.9.8D.12.0Calculate the slant height for the given cone.round to the nearest tenth.Diameter =18cmHeight =7cmA.11.2B.12.5C.14.8D.11.4

Accepted Solution

A:

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)