Question

A cylindrical vase has a diameter of 4 inches. At the bottom of the vase, there are 6 marbles, each of diameter 2 inches. The vase is filled with water up to a height of 8 inches.

What is the volume of water in the vase?

26π in3

16π in3

24π in3

32π in3

Answer 1

@Shane_B

Answer 2

@Mathmuse

Answer 3

@mathslover

Answer 4

here http://openstudy.com/study#/updates/4fa9b340e4b059b524f597dd

Answer 5

i saw that one but i still got the wrong answer

Answer 6

oh ok

Answer 7

Then it would probably help if you showed your work so we can find the mistake :)

Answer 8

.-.

Answer 9

ok, so this is what i did:

I took tha equation pir^2h, and plugged in the numbers. So it loked liked this: (3.14)*(4)(8). Then i took the equation 4/3pir^3, and plugged in the numbers: 4/3*(3.14)(8). Then multiplied that by 6 since there were 6 marbles. Then i subtracted them: 100.48*-200.94=-100.46. See.. totally wrong

Answer 10

Why is there an 8 here?
4/3*(3.14)(8)

The radius of the sphere is just 1.

Answer 11

but the heiight is 8 iches

Answer 12

i guess i dont get it lol

Answer 13

But you're mixing the sphere equation with the cylinder equation.

Answer 14

i have to frigure out what the sheres volumes are so i can subtract that from the totalyvolume

Answer 15

*total volume

Answer 16

that is what i tried to do and i got it wayy wrong

Answer 17

why

Answer 18

click 24

Answer 19

k

Answer 20

maybe thats the answer

Answer 21

maybe lol

Answer 22

want churritos

Answer 23

YESS! i love those things!

Answer 24

<------me 2 haha

Answer 25

haha aww! bring me some! :P

Answer 26

here --------_______------ hahahaha

Answer 27

hha YAY!

Answer 28

The volume of the cylinder will be:\[V{cyl}=\pi r^2h=\pi (2)^2(8)=32\pi \space in^2\]\[V_{marble}=\frac{4}{3}\pi r^3=\frac{4}{3}\pi(1)^3=\frac{4}{3}\pi\]Now multiply the volume of a marble times 6 to get the volume of all of them:\[(6)\frac{4}{3} \pi=8\pi \space in^2\]\[32\pi - 8\pi = 24\pi\]

Answer 29

seee i was right

Answer 30

Well, you had a 25% chance of being right at a guess :)

Answer 31

lol

Answer 32

thanks to both of you guys.. and i kind of get it now! yay!

Answer 33

Great, you're welcome :)

Answer 34

bye guys net ?

Answer 35

i mean next