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nschavez123
20.04.2020 •
Mathematics
QUESTIONING STRATEGIES
If a cone shares a base with a cylinder, and the
volume of the cylinder is given, along with the
heights of the cylinder and of the cone, how could
you find the volume of the cone?
Solved
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Ответ:
cone volume = cylinder volume times 1/3 the ratio of cone height to cylinder height
Step-by-step explanation:
Let h1 and V1 represent the height and volume of the cylinder, and h2 and V2 the height and volume of the cone.
We are told they have a common base area (B), so ...
V1 = Bh1 ⇒ B = V1/h1
V2 = (1/3)Bh2 = (1/3)(V1/h1)h2
The volume of the cone is ...
V2 = h2/(3h1)×V1
"one-third the ratio of cone height to cylinder height, multiplied by the cylinder volume."
Ответ:
Box A points are all close to the downward trendline, that's
strong and negative
Box B points close to upward trendline, that's
strong and positive
Box C points scattered from line but generally upward, that looks moderate and positive to me but that doesn't seem to be among the choices so let's go with
weak and positive
Box D Similar to C but downward, I'd say
moderate and negative