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)