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A cylinder with a circumference of 62.8 inches has a volume of 628 cubic inches. Use [tex]r = 3.14[/tex].

(a) Radius = 2 inches
(b) Radius = 3 inches
(c) Radius = 4 inches
(d) Radius = 5 inches

Answer :

Final answer:

The volume of a cylinder can be calculated using the formula V = πr²h. Using the given values, we can determine the height of the cylinder for each radius option. The radius option that gives the closest height to 5.25 cm is radius = 2 inches.

Explanation:

The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height of the cylinder. In this case, the volume is given as 628 cubic inches. To find the height of the cylinder, we can rearrange the formula and solve for h:

628 = πr²h

Now, we can plug in the values for each radius option, calculate the height, and determine which radius option gives the height closest to 5.25 cm.

For a radius of 2 inches, the height is approximately 4.99 inches.

For a radius of 3 inches, the height is approximately 2.96 inches.

For a radius of 4 inches, the height is approximately 1.86 inches.

For a radius of 5 inches, the height is approximately 1.19 inches.

Therefore, the radius option that gives a height closest to 5.25 cm is radius = 2 inches.

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Rewritten by : Jeany

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