Question

Brian works in a lab, and fills an empty cylinder black with 200 cubic centimeters of liquid. The flack has a radius of 3cm and a height of 12 cm. What percent of the volume is not filled with liquid?

Answer 1

About 41.1%

Explanation:

We need to find the volume of the cylinder. THe formula is:

`V_(cyl)=\pi r^2 h`

Where

r is radius

h is height

We know r = 3 & h = 12, substituting, we get volume of the cylinder. Shown below:

`V_(cyl)=\pi r^2 h\\V_(cyl)=\pi (3)^2 (12)\\V_(cyl)=108\pi\\V_(cyl)=339.29`

It is filled with 200 cubic cm, so that would be:

200/339.29 = 0.589 = 58.9% [filled]

NOT FILLED = 100% - 58.9% = 41.1 %

Not filled portion is approximately 41.1%