STEP 1: find radius $ r $

To find radius $ r $ use formula:

$$ d = 2 \cdot r $$

After substituting $d = 27.056\, \text{cm}$ we have:

$$ 27.056\, \text{cm} = 2 \cdot r $$ $$ r = \dfrac{ 27.056\, \text{cm} }{ 2 } $$ $$ r = 13.528\, \text{cm} $$

STEP 2: find side $ h $

To find side $ h $ use Pythagorean Theorem:

$$ r^2 + h^2 = l^2 $$

After substituting $r = 13.528\, \text{cm}$ and $l = 25\, \text{cm}$ we have:

$$ \left( 13.528\, \text{cm} \right)^{2} + h^2 = \left( 25\, \text{cm} \right)^{2} $$ $$ h^2 = \left( 25\, \text{cm} \right)^{2} - \left( 13.528\, \text{cm} \right)^{2} $$ $$ h^2 = 625\, \text{cm}^2 - 183.0068\, \text{cm}^2 $$ $$ h^2 = 441.9932\, \text{cm}^2 $$ $$ h = \sqrt{ 441.9932\, \text{cm}^2 } $$$$ h = 21.0236\, \text{cm} $$

STEP 3: find volume $ V $

To find volume $ V $ use formula:

$$ V = \dfrac{ h ^{ 2 } \cdot r \cdot \pi}{ 3 } $$

After substituting $r = 13.528\, \text{cm}$ and $h = 21.0236\, \text{cm}$ we have:

$$ V = \dfrac{ 441.9932\, \text{cm}^2 \cdot 13.528\, \text{cm} \cdot \pi}{ 3 }$$$$ V = \dfrac{ 5979.2842\, \text{cm}^3 \, \pi}{ 3 } $$$$ V = 1993.0947\pi\, \text{cm}^3 $$

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