Find the slant height $l$ of a cone if radius $r = 42 cm$ and height $h = 102.3 cm$ .

Answer

$110.5861 cm$

Explanation

To find side $l$ use Pythagorean Theorem:

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

After substituting $r = 42 cm$ and $h = 102.3 cm$ we have:

(42 cm)^{2} + (102.3 cm)^{2} = l^{2}

1764 cm^{2} + 10465.29 cm^{2} = l^{2}

l^{2} = 12229.29 cm^{2}

l = 12229.29 cm^{2}

l = 110.5861 cm

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Find the slant height l of a cone if radius r=42cm and height h=102.3cm.

110.5861cm

Find the slant height $l$ of a cone if radius $r = 42 cm$ and height $h = 102.3 cm$ .

$110.5861 cm$