Find the slant height $l$ of a cone if radius $r = 10 cm$ and height $h = 942 cm$ .

Answer

$2221866 cm$

Explanation

To find side $l$ use Pythagorean Theorem:

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

After substituting $r = 10 cm$ and $h = 942 cm$ we have:

(10 cm)^{2} + (942 cm)^{2} = l^{2}

100 cm^{2} + 887364 cm^{2} = l^{2}

l^{2} = 887464 cm^{2}

l = 887464 cm^{2}

l = 2221866 cm

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Find the slant height l of a cone if radius r=10cm and height h=942cm.

2221866​cm

Find the slant height $l$ of a cone if radius $r = 10 cm$ and height $h = 942 cm$ .

$2221866 cm$