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The volume of a cylinder is 225 cubic inches and the height of the cylinder is 1 inch what is the radius of the cylinder?

Respuesta :

Answer:

r = Sqrt(81.2)

Step-by-step explanation:

V = pi * r^2 * h

255 = pi * r^2 * 1

255 = pi * r^2

255/pi = r^2

81.2 = r^2

Sqrt(81.2) = r

The radius of the cylinder with the volume of a cylinder is 225 cubic inches will be 9.21 inches.

How to calculate the volume of a cylinder?

The volume of the cylinder is calculated by multiplying the area of ​​the base and the height. Since the base is a circle, we use the formula for the area of ​​a circle times the height of that cylinder.

So the formula is:

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

where:

  • V=255
  • h=1

In this case we find:

[tex]255 = \pi * r^2 * 1\\255 = 3 * r^2\\255/3 = r^2\\r^2=85\\r=9.21[/tex]

See more about volume of a cylinder at brainly.com/question/16134180

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