STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 27.056 $ we have:
$$ 27.056 = 2 \cdot r $$ $$ r = \dfrac{ 27.056 }{ 2 } $$ $$ r = 13.528 $$STEP 2: find side $ h $
To find side $ h $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 13.528 $ and $ l = 25 $ we have:
$$ 13.528^2 + h^2 = 25^2 $$ $$ h^2 = 25^2 - 13.528^2 $$ $$ h^2 = 625 - 183.0068 $$ $$ h^2 = 441.9932 $$ $$ h = \sqrt{ 441.9932 } $$$$ h = 21.0236 $$STEP 3: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ r = 13.528 $ and $ h = 21.0236 $ we have:
$$ V = \dfrac{ 183.0068 \cdot 21.0236 \cdot \pi}{ 3 }$$$$ V = \dfrac{ 3847.4678 \, \pi}{ 3 } $$$$ V = 1282.4893\pi $$