STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 14 $ we have:
$$ 14 = 2 \cdot r $$ $$ r = \dfrac{ 14 }{ 2 } $$ $$ r = 7 $$STEP 2: find base area $ AB $
To find base area $ AB $ use formula:
$$ AB = r^2 \cdot \pi $$After substituting $ r = 7 $ we have:
$$ AB = 7^2 \cdot \pi $$ $$ AB = 49 \cdot \pi $$STEP 3: find lateral area $ AL $
To find lateral area $ AL $ use formula:
$$ AL = 2 \cdot r \cdot h \cdot \pi $$After substituting $ r = 7 $ and $ h = 16 $ we have:
$$ AL = 14 \cdot 16 \cdot \pi $$$$ AL = 224\pi $$STEP 4: find area $ A $
To find area $ A $ use formula:
$$ A = 2 AB + AL $$After substituting $ AB = 49\pi $ and $ AL = 224\pi $ we have:
$$ A = 2 \cdot 49\pi + 224\pi $$ $$ A = 98\pi + 224\pi $$ $$ A = 322\pi $$