STEP 1: find base area $ AB $
To find base area $ AB $ use formula:
$$ A = AB + CSA $$After substituting $A = 1507.9645\, \text{cm}$ and $CSA = 706.8583\, \text{cm}$ we have:
$$ 1507.9645\, \text{cm} = AB + 706.8583\, \text{cm} $$ $$ 1507.9645\, \text{cm} = AB + 706.8583\, \text{cm} $$ $$ 1 AB = 1507.9645\, \text{cm} - 706.8583\, \text{cm} $$ $$ 1 AB = 801.1061\, \text{cm} $$ $$ AB = 801.1061\, \text{cm} $$STEP 2: find radius $ r $
To find radius $ r $ use formula:
After substituting $AB = 801.1061\, \text{cm}$ we have:
$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 801.1061\, \text{cm} $$ $$ r = \sqrt{ \frac{ 801.1061\, \text{cm} }{\pi} } $$ $$ r \approx 15.9687 $$