Find the volume $ V $ of a cone if height $h = 10$ and base area $AB = 22$.
Answer
$V = 23.3427\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
After substituting $ AB = 22 $ we have:
$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 22 $$ $$ r = \sqrt{ \frac{ 22 }{\pi} } $$ $$ r \approx 2.6463 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ r = 2.6463 $ and $ h = 10 $ we have:
$$ V = \dfrac{ 7.0028 \cdot 10 \cdot \pi}{ 3 }$$$$ V = \dfrac{ 70.028 \, \pi}{ 3 } $$$$ V = 23.3427\pi $$This page was created using
Cone Calculator