Find the Curved Surface Area $ CSA $ of a cone if radius $r = 3$ and height $h = 5$.
Answer
$CSA = 3 \sqrt{ 34 }\pi$
Explanation
STEP 1: find side $ l $
To find side $ l $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 3 $ and $ h = 5 $ we have:
$$ 3^2 + 5^2 = l^2 $$ $$ 9 + 25 = l^2 $$ $$ l^2 = 34 $$ $$ l = \sqrt{ 34 } $$STEP 2: find Curved Surface Area $ CSA $
To find Curved Surface Area $ CSA $ use formula:
$$ CSA = r \cdot l \cdot \pi$$After substituting $ r = 3 $ and $ l = \sqrt{ 34 } $ we have:
$$ CSA = 3 \cdot \sqrt{ 34 } \cdot \pi$$$$ CSA = 3 \cdot \sqrt{ 34 } \cdot \pi $$$$ CSA = 3 \sqrt{ 34 }\pi $$This page was created using
Cone Calculator