A cylindrical vase has a diameter of 6in. At the bottom of the vase, there are 6 marbles, each of diameter of 1in. the vase is filled with water up to a height of 12in. What is the volume of water in the vase.
A. 102pi in^3
B. 106pi in^3
C. 107pi in^3
D. 108pi in^3

Question

A cylindrical vase has a diameter of 6in. At the bottom of the vase, there are 6 marbles, each of diameter of 1in. the vase is filled with water up to a height of 12in. What is the volume of water in the vase. 
A. 102pi in^3
B. 106pi in^3
C. 107pi in^3
D. 108pi in^3

anonymous · Answer

total volume - volume of marbles = volume of water
Total volume =12 (6/2)^2 pi 
volume of marbles = 6(1^2 pi )
volume of water = total - marbles
                        =12 (6/2)^2 pi -6(1^2 pi )
                         =102 pi

anonymous · Answer

thanks

anonymous · Answer

you are welcome

anonymous · Answer

Volume marbles 6*4/3*(1/2)^3*pi = pi

anonymous · Answer

So the answer is C

anonymous · Answer

yes yes yes Sorry for making mistakes