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

Answer:

About 41.1%

Step-by-step 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%