Answer :

__Given__ : Radius of cone = r = 15 cm

Vertical angle = θ = 60°

__To find__ : height of cone = h = ?

Slant height of cone = l = ?

__Formula__ : l =

__Solution__ :

Here, the vertical angle = ∠ A = 60°

AB = height

BC = radius = 15 cm

AC = slant height

In Δ ABC, AC is the hypotenuse.

tan θ =

⇒ tan 60° =

=

∴ h = = 5√3 cm

l = = = l = = 10√3 cm

∴ The height and slant height of the right circular cone are 5√3 cm and 10√3 cm respectively.

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