Question

A cylindrical vase has a diameter of 6 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 12 inches.

What is the volume of water in the vase?
Answer

107π in3

102π in3

106π in3

108π in3

Answer 1

volume of water = volume of empty vase - total volume of the 6 marbles
= pi*3^2 * 12 - 6* (4/3) pi *1^3

can you do this calculation?

Answer 2

i beleive so hold on

Answer 3

i make it 100 pi - either i've gone wrong or the choices are incorrect!!

Answer 4

aha i got 173.6 .....

Answer 5

i can't see how i've gone wrong - the vol of cylinder is area of saw * ht = pir^2 * h
= pi *3^3 * 12 = 108 pi

Answer 6

108 is one of my options

Answer 7

- thats the total volume - if we got 6 marbles of volume 4/3 pi volume = 9pi
that leaves 100pi of water

Answer 8

idk the smallest i have is 102 so

Answer 9

sorry 8pi so water vol. = 108pi - 8pi = 100pi

Answer 10

well a marble is a sphere whose volume is (4/3) pi r^3 and r = 1 (as diameter = 2)
so that 6* 4/3 pi = 8 pi

Answer 11

one of the options should be 100pi

Answer 12

=/

Answer 13

ok - i'm sure of that (hope i don't sound arrogant) - whats =/ mean?

Answer 14

no it's fine the options could be wrong i mean they have messed up before so .. yeahh and its a straight face lol

Answer 15

ok - lol