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find the height of a right circular cone if the slant height is 4 units and the radius is 2 units

Respuesta :

The slant height of the right circular cone will be  [tex]l=2\sqrt5}[/tex]

What is slant height of cone?

The formula for the slant height of the cone is given as:

[tex]l^2=r^2+h^2[/tex]

Here we have

r=2 units

h=4 units

By putting the values we will get

[tex]l=\sqrt{4^2+2^2[/tex]

[tex]l=\sqrt{16+4[/tex]

[tex]l=\sqrt{20}[/tex]

[tex]l=2\sqrt{5}[/tex]

Hence the slant height of the right circular cone will be  [tex]l=2\sqrt5}[/tex]

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