Respuesta :

Answer :

  • 8 feet.

Given :

  • The volume of cylinder is 2,813.44 cubic feet.
  • Height of the cylinder is 14 feet.

To Find :

  • The radius.

Solution :

We know,

[tex] \bf \longrightarrow \qquad \: \pi {r}^{2} h = \: Volume_{(cylinder)}[/tex]

Where,

  • r is the radius of the cylinder.

  • h is the height of the cylinder.

  • Here, we will take the value of π as 3.14 approximately .

Substituting the values in the formula :

[tex] \sf \longrightarrow \qquad \: 3.14 \times {r}^{2} \times 14 = \: 2813.44[/tex]

[tex]\sf \longrightarrow \qquad \: 43.96 \times {r}^{2} = \: 2813.44[/tex]

[tex]\sf \longrightarrow \qquad \: {r}^{2} = \: \dfrac{ 2813.44}{43.96}[/tex]

[tex]\sf \longrightarrow \qquad \ {r}^{2} = \: 64[/tex]

[tex]\sf \longrightarrow \qquad \: {r} = \: \sqrt{64} [/tex]

[tex]\pmb{ \bf{ \longrightarrow \qquad \: {r} = \: 8}}[/tex]

Therefore,

  • The radius of the cylinder is 8 feet.

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