Find the height $h$ of a cone if radius $r = 6 cm$ and slant height $l = 10 cm$ .

Answer

$8 cm$

Explanation

To find side $h$ use Pythagorean Theorem:

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

After substituting $r = 6 cm$ and $l = 10 cm$ we have:

(6 cm)^{2} + h^{2} = (10 cm)^{2}

h^{2} = (10 cm)^{2} - (6 cm)^{2}

h^{2} = 100 cm^{2} - 36 cm^{2}

h^{2} = 64 cm^{2}

h = 64 cm^{2}

h = 8 cm

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Find the height h of a cone if radius r=6cm and slant height l=10cm.

8cm

Find the height $h$ of a cone if radius $r = 6 cm$ and slant height $l = 10 cm$ .

$8 cm$