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A cylinder has a height of 8 feet and a volume of 628 cubic feet. Find the radius of the cylinder. Use 3.14 for π. Show your work.

Verified Answer :

The radius of the cylinder is  5 feet.

What is a cylinder?

A cylinder is a basic three-dimensional geometric object. Cylinder is the one having  two parallel bases which are circular in shape and at a distance from each other which is called as its height.

For the given situation,

Height of the cylinder, h = 8 feet

Volume of the cylinder, V = 628 cubic feet.

Let the radius of the cylinder be 'r'

Let \(\pi\) = 3.14

The formula for the volume of the cylinder is \(V=\pi r^{2}h\)

On substituting the above values,

⇒ \(628=(3.14)(r^{2} )(8)\)

⇒ \(r^{2} = \frac{628}{25.12}\)

⇒ \(r^{2}=25\)

⇒ \(r=\sqrt{25}\)

⇒ \(r=5\)

Hence we can conclude that the radius of the cylinder is  5 feet.

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