Calculate the slant height for the given cone. round to the nearest tenth. diameter =8cm
height =9cm
a.10.2
b.11.4
c.9.8
d.12.0
calculate the slant height for the given cone. round to the nearest tenth.
diameter =18cm
height =7cm
a.11.2
b.12.5
c.14.8
d.11.4

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)