Find the Curved Surface Area $CS A$ of a cone if radius $r = 4 cm$ and height $h = 8 cm$ .

Answer

$165 π cm^{2}$

Explanation

STEP 1: find side $l$

To find side $l$ use Pythagorean Theorem:

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

After substituting $r = 4 cm$ and $h = 8 cm$ we have:

(4 cm)^{2} + (8 cm)^{2} = l^{2}

16 cm^{2} + 64 cm^{2} = l^{2}

l^{2} = 80 cm^{2}

l = 80 cm^{2}

l = 45 cm

STEP 2: find Curved Surface Area $CS A$

To find Curved Surface Area $CS A$ use formula:

CS A = l \cdot r \cdot π

After substituting $r = 4 cm$ and $l = 45 cm$ we have:

CS A = 45 cm \cdot 4 cm \cdot π

CS A = 45 cm \cdot 4 cm \cdot π

CS A = 165 π cm^{2}

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Find the Curved Surface Area CSA of a cone if radius r=4cm and height h=8cm.

165​πcm2

Find the Curved Surface Area $CS A$ of a cone if radius $r = 4 cm$ and height $h = 8 cm$ .

$165 π cm^{2}$