Respuesta :

Answer:

12 inches

Step-by-step explanation:

Given

  • Volume = 763 cubic inches
  • Diameter = 9 inches ⇒ Radius = 9/2 inches

Formula for Volume of a Cylinder

  • V = πr²h

Solving

  • 763 = 3.14 x (9/2)² x h
  • 763 = 3.14 x 81/4 x h
  • 763 = 3.14 x 20.25 x h
  • 763 = 63.585h
  • h = 11.99 ≅ 12 inches

Answer:

The height is 12 inches

Step-by-step explanation:

Step 1:  Determine the knowns a formula

[tex]Volume = 764\ in^3[/tex]

[tex]Diameter = 9\ in[/tex]

[tex]Formula: V = \pi r^2h[/tex]

Step 2:  Input the values and solve

[tex]V = \pi r^2h[/tex]

[tex]764\ in^3 = \pi (9/2\ in)^2h[/tex]

[tex]764\ in^3 = \pi (20.25\ in^2)h[/tex]

[tex]764\ in^3 =63.617\ in^2 * h[/tex]

[tex]\frac{764\ in^3}{63.617\ in^2} = \frac{63.617\ in^2 * h}{63.617\ in^2}[/tex]

[tex]12.0\ in = h[/tex]

Answer: The height is 12 inches

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