Answer:
Step-by-step explanation:
Vase:
h = 12 in
r = diameter/2 = 6/2 = 3 in
Volume of vase = πr²h
= π(3)²*12
Marbles:
r = 3/2 = 1.5 in
[tex]Volume \ of \ marbles = \dfrac{4}{3}\pi r^{3}\\\\\\Volume \ of \ 7 marbles=7*\dfrac{4}{3}\pi (1.5)^{3}[/tex]
Volume of water = Volume of vase - volume of 7 marbles
[tex]= \pi (3)^{2}*12 - 7*\dfrac{4}{3}\pi (1.5)^{3}[/tex]
Answer:
second choice
Step-by-step explanation:
the volume of water in the vase
= volume of the vase up to the height 12 inches - volume of 7 marbles
= π(6/2)²(12) - 7(4/3)π(3/2)³
so answer is the second choice
