STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 20 $ we have:
$$ 20 = 2 \cdot r $$ $$ r = \dfrac{ 20 }{ 2 } $$ $$ r = 10 $$STEP 2: find lateral area $ AL $
To find lateral area $ AL $ use formula:
$$ AL = 2 \cdot r \cdot h \cdot \pi $$After substituting $ r = 10 $ and $ h = 23 $ we have:
$$ AL = 20 \cdot 23 \cdot \pi $$$$ AL = 460\pi $$