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3 years ago

What is the volume of a cylinder with a diameter of 12 in. and a height of 7 in.?

Mathematics

1 answer:

Stels [109]3 years ago

3 0

Answer

Find out the volume of a cylinder .

To prove

Formula

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

Where r is the radius and h is the height.

As given

Diameter of 12 in. and a height of 7 in.

$Radius = \frac{Diameter}{2}$

$Radius = \frac{12}{2}$

Radius = 6 in

$\pi = 3.14$

put all the values in the formula

$Volume\ of\ cylinder = 3.14\times 6\times 6\times 7$

= 791.28 in³

Therefore the volume of the cylinder is 791 .28 in³ .

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60 POINTS! (Reported if incomplete/absent)

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Answer:

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3 years ago

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sertanlavr [38]

Answer:

Read the explanation

Step-by-step explanation:

Explanation:

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2 years ago

Let’s assume that, over the years, a paper and pencil test of anxiety yields a mean score of 35 for all incoming college freshme

vovangra [49]

Answer:

|t| = 2.235 > 2.093

we rejected null hypothesis.

It is not coming from population

Step-by-step explanation:

Step:-1

Let’s assume that, over the years, a paper and pencil test of anxiety yields a mean score of 35 for all incoming college freshmen.

μ = 35

small sample size n =20

mean of the sample x⁻ = 30

standard deviation of (S) = 10

Null hypothesis :- The difference between x⁻ and μ is not significant

Alternative hypothesis:- The difference between x⁻ and μ is significant

that is μ ≠ 35

Level of significance :-∝ =0.05

The test statistic:-

$t = \frac{x^{-} - population mean}{\frac{S}{\sqrt{n} } }$

substitute all values in above equation

μ = 35 ,n =20

mean of the sample x⁻ = 30

standard deviation of (S) = 10

$t = \frac{30 - 35}{\frac{10}{\sqrt{20} } }$

t= -2.235

|t| = 2.235

The degrees of freedom γ =n-1 =20-1 =19

By tabulated value of 't' for 19 degrees of freedom at 5% level of significance.= 2.093 for two tailed test.(see attached diagram below)

conclusion:-

|t| = 2.235 > 2.093

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