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?

96π in3

27π in3

65π in3

105π in3

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? 

 96π in3 

 27π in3 

 65π in3 

 105π in3

btaylor · Answer

$$V(vase)=(12)(3^2)\pi=108\pi$$$$V(marbles)=9(\frac{4\pi(1^3)}{3}) = 12 \pi$$$$V(water)=V(vase)-V(marbles) = 108 \pi - 12 \pi = 96 \pi$$

anonymous · Answer

I looked at another example and i couldnt find the answer! Thanks for the help you deffinately helped a lot!

btaylor · Answer

yw