Find the slant height $l$ of a cone if radius $r = 3.82 cm$ and height $h = 97 cm$ .

Answer

$97.0752 cm$

Explanation

To find side $l$ use Pythagorean Theorem:

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

After substituting $r = 3.82 cm$ and $h = 97 cm$ we have:

(3.82 cm)^{2} + (97 cm)^{2} = l^{2}

14.5924 cm^{2} + 9409 cm^{2} = l^{2}

l^{2} = 9423.5924 cm^{2}

l = 9423.5924 cm^{2}

l = 97.0752 cm

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Find the slant height l of a cone if radius r=3.82cm and height h=97cm.

97.0752cm

Find the slant height $l$ of a cone if radius $r = 3.82 cm$ and height $h = 97 cm$ .

$97.0752 cm$