STEP 1: find radius $ r $

To find radius $ r $ use formula:

After substituting $AB = 5.6\, \text{cm}$ we have:

$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 5.6\, \text{cm} $$ $$ r = \sqrt{ \frac{ 5.6\, \text{cm} }{\pi} } $$ $$ r \approx 1.3351 $$

STEP 2: find lateral area $ AL $

To find lateral area $ AL $ use formula:

$$ AL = 2 \cdot h \cdot r \cdot \pi $$

After substituting $r = 1.3351\, \text{cm}^0$ and $h = 3.4\, \text{cm}$ we have:

$$ AL = 6.8\, \text{cm} \cdot 1.3351 \cdot \pi $$$$ AL = 9.0788\pi\, \text{cm} $$

STEP 3: find area $ A $

To find area $ A $ use formula:

$$ A = 2 AB + AL $$

After substituting $AB = 5.6\, \text{cm}$ and $AL = 9.0788\pi\, \text{cm}$ we have:

$$ A = 2 \cdot 5.6\, \text{cm} + 9.0788\pi\, \text{cm} $$ $$ A = 11.2\, \text{cm} + 9.0788\, \text{cm} $$ $$ A = 20.2788\, \text{cm} $$

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