anonymous
  • anonymous
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 10 inches. What is the volume of water in the vase?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
volume of water=vol of cylinder till 10 inc-vol of the 6 marbles
anonymous
  • anonymous
But I'm confused on how to find the volume of the marbles?
Mertsj
  • Mertsj
The marbles are spheres. The volume of a sphere is \[V=\frac{4}{3}\pi r^3\]

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More answers

Mertsj
  • Mertsj
There are 6 marbles and their radius is 1 so replace r with 1 in the formula and multiply the answer by 6 since there are 6 marbles. That will be the volume of the marbles.
anonymous
  • anonymous
so the volume of the marbles would end up becoming 75.36
Mertsj
  • Mertsj
\[V _{m}=6(\frac{4}{3})\pi (1)^3=8\pi \]
anonymous
  • anonymous
Would i divide the 42.39 that i got by the 25.12 i got with the 8\[\pi\] ?
Mertsj
  • Mertsj
|dw:1333071586489:dw|
anonymous
  • anonymous
so the volume of the cylinder in general is 90 * \[\pi\] ?
Mertsj
  • Mertsj
What did you get for the volume of a cylinder whose radius is 3 and height is 10?
anonymous
  • anonymous
282.6
Mertsj
  • Mertsj
Yep
anonymous
  • anonymous
so now I need to find the volume of the marbles, right?
Mertsj
  • Mertsj
Yep
anonymous
  • anonymous
for the volume of the marbles i got 25.12, would that be correct?
Mertsj
  • Mertsj
Yep
anonymous
  • anonymous
would i subtract that from the general volume?
Mertsj
  • Mertsj
yep
anonymous
  • anonymous
but would that give me the correct answer to what the question is asking?
Mertsj
  • Mertsj
What is the question asking?
anonymous
  • anonymous
what the volume of the water in the vase is
Mertsj
  • Mertsj
What is in the vase?
anonymous
  • anonymous
marbles and water
Mertsj
  • Mertsj
What is the total volume of the vase?
anonymous
  • anonymous
282.6
Mertsj
  • Mertsj
Is that all water?
anonymous
  • anonymous
i would think so
Mertsj
  • Mertsj
I thought you said the vase had marbles AND water in it and now you are telling me that it is all water?
Mertsj
  • Mertsj
Which is it?
anonymous
  • anonymous
no but i subtracted the marbles and didn't get any of the answer choices i was given.
Mertsj
  • Mertsj
What are the answer choices?
anonymous
  • anonymous
36π in3 54π in3 66π in3 82π in3
Mertsj
  • Mertsj
So I see that you did not look at the drawing I made explaining the entire problem.
anonymous
  • anonymous
i did but i couldn't exactly comprehend it
anonymous
  • anonymous
I only understood the two parts about the general volume and the volume of the marbles, i just don't know what to do after finding those two out, i've been stuck on this problem for about three hours now
anonymous
  • anonymous
What would I do next to find the volume of the water?
anonymous
  • anonymous
Ive looked at your drawing again but it's still not very clear to me. I keep missing that one part so i'm unable to finish the answer
Mertsj
  • Mertsj
It tells you the answer!!!

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