A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 2 inches. The vase is filled with water up to a height of 12 inches.

What is the volume of water in the vase?

Question

A cylindrical vase has a diameter of 6 inches.  At the bottom of the vase, there are 9 marbles, each of diameter 2 inches. The vase is filled with water up to a height of 12 inches.
 
What is the volume of water in the vase?

anonymous · Answer

Volume = Area* Heigt...
area of the base of a cylinder is a circle so 

A=pi*r^2

then the volume of your cylinder is 
pi*6^2*12 ( height of water)

the volume of the water will be the volume of the cylinder minus the volume of the mables...

anonymous · Answer

so it would be v =  	
4/3 * pi * r3 (which is the volume of the marbles ) subtracted from pi*6^2*12?

anonymous · Answer

right but remember there are 9 marbles... so you have to multiply their volume by 9

anonymous · Answer

so i got 301.44. but my answer choices are 
96π in3

27π in3

65π in3

105π in3 
and none of those added up to the answer i got

anonymous · Answer

sorry my mistake, u are given the diameter of the cylinder, so the volume will be 
V= pi*R^2*height    so 
V= pi*3^2*12

anonymous · Answer

i forgot to divide the diameter by 2 :D

anonymous · Answer

okay so it is 339.12-4.18 which is 334.94 and the closest answer to that is 105pi...so i guess that one?

anonymous · Answer

did you use the radius to calculate the volume of the spheres??? remember D=2*R
i got that the answer is 96pi

anonymous · Answer

oh i forgot that! thanks!