Find the slant height $l$ of a cone if radius $r = 11 cm$ and height $h = 15 cm$ .

Answer

$346 cm$

Explanation

To find side $l$ use Pythagorean Theorem:

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

After substituting $r = 11 cm$ and $h = 15 cm$ we have:

(11 cm)^{2} + (15 cm)^{2} = l^{2}

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

l^{2} = 346 cm^{2}

l = 346 cm^{2}

l = 346 cm

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Find the slant height l of a cone if radius r=11cm and height h=15cm.

346​cm

Find the slant height $l$ of a cone if radius $r = 11 cm$ and height $h = 15 cm$ .

$346 cm$