STEP 1: find radius $ r $

To find radius $ r $ use formula:

After substituting $AB = 7\, \text{cm}$ we have:

$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 7\, \text{cm} $$ $$ r = \sqrt{ \frac{ 7\, \text{cm} }{\pi} } $$ $$ r \approx 1.4927 $$

STEP 2: find side $ l $

To find side $ l $ use Pythagorean Theorem:

$$ r^2 + h^2 = l^2 $$

After substituting $r = 1.4927\, \text{cm}^0$ and $h = 15\, \text{cm}$ we have:

$$ 1.4927 + \left( 15\, \text{cm} \right)^{2} = l^2 $$ $$ 2.2282 + 225\, \text{cm}^2 = l^2 $$ $$ l^2 = 227.2282 $$ $$ l = \sqrt{ 227.2282 } $$$$ l = 15.0741 $$

STEP 3: find Curved Surface Area $ CSA $

To find Curved Surface Area $ CSA $ use formula:

$$ CSA = l \cdot r \cdot \pi$$

After substituting $r = 1.4927\, \text{cm}^0$ and $l = 15.0741\, \text{cm}^0$ we have:

$$ CSA = 15.0741 \cdot 1.4927 \cdot \pi$$$$ CSA = 15.0741 \cdot 1.4927 \cdot \pi $$$$ CSA = 22.5011\pi $$

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