Find the area $ A $ of a cylinder if radius $r = 9.3$ and height $h = 5.5$.

$A = 275.28$

STEP 1: find base area $ AB $

To find base area $ AB $ use formula:

$$ AB = r^2 \cdot \pi $$

After substituting $ r = 9.3 $ we have:

$$ AB = 9.3^2 \cdot \pi $$ $$ AB = 86.49 \cdot \pi $$

STEP 2: find lateral area $ AL $

To find lateral area $ AL $ use formula:

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

After substituting $ r = 9.3 $ and $ h = 5.5 $ we have:

$$ AL = 18.6 \cdot 5.5 \cdot \pi $$$$ AL = 102.3\pi $$

STEP 3: find area $ A $

To find area $ A $ use formula:

$$ A = 2 AB + AL $$

After substituting $ AB = 86.49\pi $ and $ AL = 102.3\pi $ we have:

$$ A = 2 \cdot 86.49\pi + 102.3\pi $$ $$ A = 172.98 + 102.3 $$ $$ A = 275.28 $$

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