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1 year ago

A cylinder has a height of 8 inches and a radius of 11 inches. What is its volume? round your answer to the nearest hundredth.

Mathematics

1 answer:

ivanzaharov [21]1 year ago

6 0

The volume of the cylinder is 3041.06 inches square

A cylinder has a height of 8 inches and a radius of 11 inches.

We have to determine the volume of the cylinder.

A cylinder has a height is 8 inches

The radius of the cylinder is 11inches.

<h3>What is the formula for the volume of a cylinder?</h3>

The volume of the cylinder is given by

$V=\pi r^2h$

Insert the values

$V=(3.14)(11)^2(8)$

$V=3041.06 in^2$

Therefore the volume of the cylinder is 3041.06 inches square

To learn more about the volume visit:

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Answer:

The statistic for this case would be given by:

$z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67$

Step-by-step explanation:

Infromation provided

n=100 represent the random sample selected

X=18 represent the people who rates Pepsi as being "concerned with my health"

$\hat p=\frac{18}{100}=0.18$ estimated proportion of people who rates Pepsi as being "concerned with my health"

$p_o=0.1$ is the value that reference to compare

z would represent the statistic

Hypothesis to test

For this case we can assume that the interest is check if the proportion of people who rates Pepsi as being "concerned with my health" is equal to 0.1 or not , then the system of hypothesis are:

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

The satistic for this one sample proportion test is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67$

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