Find the area $ A $ of a cone if radius $r = 2$ and slant height $l = 3$.

$A = 10\pi$

STEP 1: find base area $ AB $

To find base area $ AB $ use formula:

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

After substituting $ r = 2 $ we have:

$$ AB = 2^2 \cdot \pi $$ $$ AB = 4 \cdot \pi $$

STEP 2: find Curved Surface Area $ CSA $

To find Curved Surface Area $ CSA $ use formula:

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

After substituting $ r = 2 $ and $ l = 3 $ we have:

$$ CSA = 2 \cdot 3 \cdot \pi$$$$ CSA = 2 \cdot 3 \cdot \pi $$$$ CSA = 6\pi $$

STEP 3: find area $ A $

To find area $ A $ use formula:

$$ A = AB + CSA $$

After substituting $ AB = 4\pi $ and $ CSA = 6\pi $ we have:

$$ A = 4\pi + 6\pi $$ $$ A = 4\pi + 6\pi $$ $$ A = 10\pi $$

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