Question
Find the diameter $ d $ of a cone if height $h = 2\, \text{cm}$ and base area $AB = 1.625\, \text{cm}$.
Answer
$1.4384$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
After substituting $AB = 1.625\, \text{cm}$ we have:
$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 1.625\, \text{cm} $$ $$ r = \sqrt{ \frac{ 1.625\, \text{cm} }{\pi} } $$ $$ r \approx 0.7192 $$STEP 2: find diameter $ d $
To find diameter $ d $ use formula:
$$ d = 2 \cdot r $$After substituting $r = 0.7192\, \text{cm}^0$ we have:
$$ d = 2 \cdot 0.7192 $$ $$ d \approx 1.4384 $$This page was created using
Cone Calculator