## anonymous one year ago A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches. Which of the following could be used to calculate the volume of water in the vase? π(3in)2(12in) − 1.5(four over threeπ(9in)3) π(12in)2(3in) − 1.5(four over threeπ(9in)3) π(3in)2(12in) − 9(four over threeπ(1.5in)3) π(12in)2(3in) − 9(four over threeπ(1.5in)3)

1. anonymous

idk this im so sorry

2. Owlcoffee

Now, first off, you have to calculate the volume of the cilider defined by the water and sustract it the volume of each individual marble. these are de equations you might want to use: $A _{Cil.}= h \pi r^2$ Where "h" is the height, and "r" the radius of the cilinder's base. $A _{sph.}=\frac{ 4 }{ 3 } \pi r^3$ where "r" is the radius of the marble.

3. Owlcoffee

So, the volume of the water will be determined by the volume of the section it defines on the cilider sustracted by the volume of al lthe marbles: $Vol=h. \pi . r^2 - 9(\frac{ 4 }{ 3 } \pi r ^3 )$

4. anonymous

that eliminates a and c right?

5. anonymous

is it D? @Owlcoffee

6. Owlcoffee

yes.

7. Owlcoffee

I don't know, you'll have to replace the values and see.

8. anonymous

lol yeah thats what it matches

9. Owlcoffee

Yes, then "D" is the correct option.