Respuesta :

Answer:

The height of the cylinder 'h' = 4 inches

Step-by-step explanation:

Explanation :-

Given diameter  of the cylinder ' d' = 10 inches

 Diameter  of the cylinder    d  = 2 r

Radius of the cylinder

                              [tex]r = \frac{d}{2} = \frac{10}{2} = 5[/tex]

Given Volume of the cylinder 'V' = 314 cubic inches

Volume of the cylinder Formula

                                      V = π r² h

                                  3 14  = 3.14 (5)² h

                                 [tex]h = \frac{314}{3.14 X 25}[/tex]

                               h =  4

The height of the cylinder 'h' = 4 inches

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