Unofficialllyy
  • Unofficialllyy
I really need help
Mathematics
katieb
  • katieb
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Unofficialllyy
  • Unofficialllyy
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?
Unofficialllyy
  • Unofficialllyy
\[\pi(2ft)^2(8ft)+\frac{ 1 }{ 3 } \pi(2ft)^2(9.5ft-8ft)\] \[\pi(8ft)^2(2ft)+\frac{ 1 }{ 3 } \pi(2ft)^2(9.5ft-8ft)\] \[\pi(2ft)^2(8ft)+\frac{ 1 }{ 3 } \pi(9.5ft-8ft)^2(2ft)\] \[\pi(8ft)^2(2ft)+\frac{ 1 }{ 3 } \pi(9.5ft-8ft)^2(2ft)\]
welshfella
  • welshfella
Volume of water = (volume of cylinder with height 12) - (7 * volume of a marble)

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Unofficialllyy
  • Unofficialllyy
I don't know how to find all the volumes :(
welshfella
  • welshfella
I notice the units in question are in inches but the choices are in feet??
Unofficialllyy
  • Unofficialllyy
I accidentally posted the wrong answer choices lol. Give me one second.
welshfella
  • welshfella
i thought you might have!!
Unofficialllyy
  • Unofficialllyy
It's a lot to type out lol.
welshfella
  • welshfella
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
Unofficialllyy
  • Unofficialllyy
I got pi(3in)^2-7(4/3 pi(1.5in)^3)
Unofficialllyy
  • Unofficialllyy

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