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The volume of a cylinder is 112π cubic meters. Find the diameter of the cylinder when its height is 7 meters.

Respuesta :

We first found the radius of the cylinder which is 4 meters, then we multiplied by a factor of 2 to get the diameter which is 8 meters

Mensuration of solids(Cylinder)

Given Data

  • Volume of Cylinder = 112π cubic meters
  • Diameter = 7 meters

We know that the expression for the volume of cylinder is given as

Volume of cylinder = πr^2h

Substituting our given data we have

112π = = πr^2h

cancel out the = π

112 = r^2*7

Divide both sides by 7

112/7 = r^2

16 = r^2

Square both sides we have

r = [tex]\sqrt{16}[/tex]

r = 4 meters

Since r = 4

Diameter = 2*4

Diameter = 8 meters

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