Please help, i really suck at geometry
2 answers:
Answer:
1) In order to fill 2/3 of the vase, you would need 72 of water.
Step-by-step explanation:
In order to find this, use the volume formula for a cylinder.
V = r^2h
Now input the data
V = (3)^2(12)
V = (9)(12)
V = 108
Now since we have the volume of the whole thing, we can multiply by 2/3 to get 2/3 of the overall volume.
V = 108 * 2/3
V = 72
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Answer + Step-by-step explanation:
1) The probability of getting 2 white balls is equal to:
2) the probability of getting 2 white balls is equal to:
3) The probability of getting at least 72 white balls is:
now, let's recall Cavalieri's Principle, "solids with equal altitudes and cross-sectional areas at each height, have the same volume".
so, even though this cylinder is slanted, it has the same cross-sectional area as a cylinder that's straight-up, whose altitude is h = 5, and radius r = 4.