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ICE Princess25 [194]
3 years ago
6

A cylinder has a radius of 10 m and a height of 8 m what is the exact volume of he cylinder

Mathematics
2 answers:
xenn [34]3 years ago
7 0

Answer:

V = 800π

Step-by-step explanation:

The formula for volume of a cylinder is V = πr²h  where r is the radius of the base circle, and h is the height of the cylinder

We are given r = 10, and h = 8.  Plug them in and solve for V...

V = π(10²)(8)

    V = π(100)(8)

          V = 800π

This is the EXACT answer.  Leave it in terms of pi.  If you multiply out pi, you have to round, then you have an estimated answer.

S_A_V [24]3 years ago
4 0

\bf \textit{volume of a cylinder}\\\\ V = \pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8) \\\\\\ V=800\pi \implies V\approx 2513.27

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The American Management Association is studying the income of store managers in the retail industry. A random sample of 49 manag
VashaNatasha [74]

Answer:

a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

b) The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

Step-by-step explanation:

Question a:

We have to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a p-value of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{2050}{\sqrt{49}} = 574

The lower end of the interval is the sample mean subtracted by M. So it is 45420 - 574 = $44,846.

The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.

The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

Question b:

The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

5 0
2 years ago
Huilan is 7 years younger than thomas the sum of their age is 59 what is thomas age
Tems11 [23]

Answer: Thomas is 33 years old

Step-by-step explanation:

59-7=52

52÷2=26

26+7=33

So therefore Thomas is 33 years old

5 0
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Step-by-step explanation:

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Answer:

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16t^2 = 1,024 ft, or:

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7 0
2 years ago
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