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levacccp [35]
3 years ago
10

An oblique cylinder has a radius of 10 meters and a volume of 2,500pi cubic meters. Use Cavalieri’s Principle to solve for the h

eight of the solid.
Mathematics
2 answers:
atroni [7]3 years ago
8 0

Answer:

25 meters.

Step-by-step explanation:

We are told that an oblique cylinder has a radius of 10 meters and a volume of 2,500 pi cubic meters.      

We will use volume of oblique cylinder to find the height of our given cylinder.

\text{Volume of oblique cylinder}=\pi r^2h

Upon substituting our given values in above formula we will get,

2500\pi\text{ m}^3=\pi (\text{10 m}^2*h

2500\pi\text{ m}^3=\pi*100\text{ m}^2*h

Let us divide both sides of our equation by 100 pi.

\frac{2500\pi\text{ m}^3}{\pi*100\text{ m}^2}=\frac{\pi*100\text{ m}^2*h}{\pi*100\text{ m}^2}

25 m=h

Therefore, height of our given oblique cylinder is 25 meters.

worty [1.4K]3 years ago
4 0
The answer you are looking for is 25.
2500 / 10² = 25
Since the formula for finding the volume is 
V = Pi r² h

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Elena L [17]

Answer:

a)From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

b) We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

Part b

We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

4 0
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Step-by-step explanation:

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The side of the small triangle that will correspond to the side of HI is side IK.

<h3>How to find corresponding side of similar triangles?</h3>

Similar triangles are triangles that have the same shape but different size.

In similar triangles, corresponding sides are always in the same ratio.

The corresponding angles are equal.

Therefore, the side of the small triangle that will correspond to the side of HI is side IK.

learn more on triangle here: brainly.com/question/26531534

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It can be helpful to draw and label a figure.

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Step-by-step explanation:

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