Find the slant height $l$ of a cone if radius $r = 9 cm$ and height $h = 12 cm$ .

Answer

$15 cm$

Explanation

To find side $l$ use Pythagorean Theorem:

r^{2} + h^{2} = l^{2}

After substituting $r = 9 cm$ and $h = 12 cm$ we have:

(9 cm)^{2} + (12 cm)^{2} = l^{2}

81 cm^{2} + 144 cm^{2} = l^{2}

l^{2} = 225 cm^{2}

l = 225 cm^{2}

l = 15 cm

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Find the slant height l of a cone if radius r=9cm and height h=12cm.

15cm

Find the slant height $l$ of a cone if radius $r = 9 cm$ and height $h = 12 cm$ .

$15 cm$