Question

I really need help

Answer 1

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 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?

Answer 2

\[\pi(2ft)^2(8ft)+\frac{ 1 }{ 3 } \pi(2ft)^2(9.5ft-8ft)\]

\[\pi(8ft)^2(2ft)+\frac{ 1 }{ 3 } \pi(2ft)^2(9.5ft-8ft)\]

\[\pi(2ft)^2(8ft)+\frac{ 1 }{ 3 } \pi(9.5ft-8ft)^2(2ft)\]

\[\pi(8ft)^2(2ft)+\frac{ 1 }{ 3 } \pi(9.5ft-8ft)^2(2ft)\]

Answer 3

Volume of water = (volume of cylinder with height 12) - (7 * volume of a marble)

Answer 4

I don't know how to find all the volumes :(

Answer 5

I notice the units in question are in inches but the choices are in feet??

Answer 6

I accidentally posted the wrong answer choices lol. Give me one second.

Answer 7

i thought you might have!!

Answer 8

It's a lot to type out lol.

Answer 9

the volume of a cylinder = pi r^2 h where r = radius and h = height
the volume of a sphere = (4/3) pi r^3 where r = radius of the sphere
the marbles are all spheres

Answer 10

I got pi(3in)^2-7(4/3 pi(1.5in)^3)

Answer 11

@welshfella