Question

WHO ELSE HATES MATH LIKE ME!? OR ALGEBRA I SHOULD SAY! UGH!!! :( I NEED A PERSONAL STUDY BUDDY TO HELP ME GET THROUGH THESE TOUGH ?'S :( Brian works in a lab, and fills an empty cylindrical flask with 200 cubic centimeters of liquid. The flask has a radius of 3 cm and a height 12 cm. What percent of the volume of the flask is not filled with liquid? (Use π=3.14 . WHAT IS THE answer rounded to the nearest whole percent.)

Answer 1

The answer is 41%.

Explanation:

First, you have to find the total volume of the cylindrical flask using the formula. Then, you have to substitute the following values into the formula :

`v = \pi * {r}^(2) * h`

`let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 12`

`v = 3.14 * {3}^(2) * 12`

`v = 3.14 * 108`

`v = 339.12 {cm}^(3)`

Next, given that 200cm³ of liquid is poured into the cylinder. So in order to find the volume of flask that is not filled by liquid, you have to subtract :

`v = 339.12 - 200 = 139.12 {cm}^(3)`

Lastly, you have to find the percentage :

`(139.12)/(339.12) * 100 = 41\% \: (near. \: whole \: number)`