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tristanmatthias3456
28.07.2019 •
Mathematics
[50 points] if the volume of a cylinder is 502400 cm what is the volume of a sphere if it has the same radius and height of the cylinder
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Ответ:
When comparing the formulas for the volume of a sphere and the volume of a cylinder, we think about the height of the sphere. The radius of the sphere goes from the center to each outer edge; therefore the height of the sphere, running from top and bottom of the sphere, is 2 times the radius or 2r.
Formula for volume of a cylinder:
V = πr²h
Substituting 2r for h:
V = πr²(2r) = 2πr³
The formula for the volume of a sphere:
V = (4/3)πr³
Since 4/3 < 2, the sphere has a smaller volume. The ratio of the volume of the sphere to the volume of the cylinder is 4/3:2, which can be written as:
This means that the volume of the sphere is 2/3 the volume of the cylinder. We take the volume of the cylinder, 502400, and multiply it by 2/3:
334,933.33
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Which of the following is not a property of a chi-square distribution? a. χ2 is skewed to the right.