Find the Curved Surface Area $ CSA $ of a cone if radius $r = 7$ and height $h = 14$.
Answer
$CSA = 49 \sqrt{ 5 }\pi$
Explanation
STEP 1: find side $ l $
To find side $ l $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 7 $ and $ h = 14 $ we have:
$$ 7^2 + 14^2 = l^2 $$ $$ 49 + 196 = l^2 $$ $$ l^2 = 245 $$ $$ l = \sqrt{ 245 } $$$$ l = 7 \sqrt{ 5 } $$STEP 2: find Curved Surface Area $ CSA $
To find Curved Surface Area $ CSA $ use formula:
$$ CSA = r \cdot l \cdot \pi$$After substituting $ r = 7 $ and $ l = 7 \sqrt{ 5 } $ we have:
$$ CSA = 7 \cdot 7 \sqrt{ 5 } \cdot \pi$$$$ CSA = 7 \cdot 7 \sqrt{ 5 } \cdot \pi $$$$ CSA = 49 \sqrt{ 5 }\pi $$This page was created using
Cone Calculator