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

Answer

$93.2807 cm$

Explanation

To find side $h$ use Pythagorean Theorem:

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

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

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

h^{2} = (102.3 cm)^{2} - (42 cm)^{2}

h^{2} = 10465.29 cm^{2} - 1764 cm^{2}

h^{2} = 8701.29 cm^{2}

h = 8701.29 cm^{2}

h = 93.2807 cm

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

93.2807cm

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

$93.2807 cm$