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A CD tower is shaped like a cylinder and holds CDs with a diameter of 4.75 inches. If the CD tower is 12 inches tall, what is the volume, in cubic inches, that it can hold? Use 3.14 for pi. Round your answer to the nearest hundredth.

212.54 in3

231.56 in3

850.16 in3

867.34 in3

Verified Answer :

JeanaShupp

Answer: \(212.54\text{ in}^3\)

Step-by-step explanation:

The volume of cylinder is given by :-

\(V=\pi r^2 h\), where r is radius and h is height of the cylinder.

Given: Diameter : 4.75  inches

Then Radius =\(\dfrac{4.75 }{2}\text{ inches}\)

Height : 12 inches

Then , the volume of the cylinder will be :-

\(V=(3.14) (\dfrac{4.75 }{2})^2 (12)=212.53875\approx212.54\text{ in}^3\)

Hence, the volume of the cylinder =\(212.54\text{ in}^3\)

CDs with a diameter of 4.75 inches and the CD tower is 12 inches tall then the volume of the cylinder is 212.53 cubic in.

What is the volume of a cylinder?

The volume of the cylinder is the product of the height h, pie, and square of the radius r.

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

It is given that a diameter of CD = 4.75 inches.

If the CD tower is 12 inches tall,

then, The volume of the cylinder = \(\pi r^{2} h\)

 \(3.14\times(4.75/2)^{2} \times 12\\= 212.53\)

Thus, the volume of the cylinder is 212.53 cubic in.

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