Find the volume $ V $ of a cone if height $h = 5$ and base area $AB = 6$.
Answer
$V = 3.1831\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
After substituting $ AB = 6 $ we have:
$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 6 $$ $$ r = \sqrt{ \frac{ 6 }{\pi} } $$ $$ r \approx 1.382 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ r = 1.382 $ and $ h = 5 $ we have:
$$ V = \dfrac{ 1.9099 \cdot 5 \cdot \pi}{ 3 }$$$$ V = \dfrac{ 9.5493 \, \pi}{ 3 } $$$$ V = 3.1831\pi $$This page was created using
Cone Calculator