Find the Curved Surface Area $ CSA $ of a cone if radius $r = 5$ and height $h = 19$.
Answer
$CSA = 5 \sqrt{ 386 }\pi$
Explanation
STEP 1: find side $ l $
To find side $ l $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 5 $ and $ h = 19 $ we have:
$$ 5^2 + 19^2 = l^2 $$ $$ 25 + 361 = l^2 $$ $$ l^2 = 386 $$ $$ l = \sqrt{ 386 } $$STEP 2: find Curved Surface Area $ CSA $
To find Curved Surface Area $ CSA $ use formula:
$$ CSA = r \cdot l \cdot \pi$$After substituting $ r = 5 $ and $ l = \sqrt{ 386 } $ we have:
$$ CSA = 5 \cdot \sqrt{ 386 } \cdot \pi$$$$ CSA = 5 \cdot \sqrt{ 386 } \cdot \pi $$$$ CSA = 5 \sqrt{ 386 }\pi $$This page was created using
Cone Calculator