Find the volume $ V $ of a cone if height $h = 17.1$ and base area $AB = 16.3$.
Answer
$V = 29.5741\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
After substituting $ AB = 16.3 $ we have:
$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 16.3 $$ $$ r = \sqrt{ \frac{ 16.3 }{\pi} } $$ $$ r \approx 2.2778 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ r = 2.2778 $ and $ h = 17.1 $ we have:
$$ V = \dfrac{ 5.1884 \cdot 17.1 \cdot \pi}{ 3 }$$$$ V = \dfrac{ 88.7223 \, \pi}{ 3 } $$$$ V = 29.5741\pi $$This page was created using
Cone Calculator