Question

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

Answer 1

For the Volume of a cylinder think of it as a bunch of slices of a circle stacked on top of each other. Therefore the formula is the area of the circle multiplied by the height. The area of a circle is pi(r)^2
(3.14)[.5(4.75)]^2(12)=212.53875
=212.54 in^3

Answer 2

Answer: 212.54 in3

Explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder: π r² h

Where:

• r = radius (also r= diameter /2)
• h= height

Replacing with the values given:

r = 4.75/2 = 2.375 in

h = 12in

V = π r² h

V= π (2.375)² (12) = 3.14 (5.640625) 12 =212.54 in3

So, the correct option is 212.54in3

Feel free to ask for more if needed or if you did not understand something.