Answer:
The answer is 41%.
Step-by-step 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 :
[tex]v = \pi \times {r}^{2} \times h[/tex]
[tex]let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 12[/tex]
[tex]v = 3.14 \times {3}^{2} \times 12[/tex]
[tex]v = 3.14 \times 108[/tex]
[tex]v = 339.12 {cm}^{3} [/tex]
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 :
[tex]v = 339.12 - 200 = 139.12 {cm}^{3} [/tex]
Lastly, you have to find the percentage :
[tex] \frac{139.12}{339.12} \times 100 = 41\% \: (near. \: whole \: number)[/tex]
